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Items C. 1 - C.344 consist of lectures etc as part of Adams' role in teaching, C.345 - C.646 are from conferences and seminars he attended and C.647 - C.708 consist of lectures by others.

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'MT 111 Algebra, Michaelmas Term 1966' lecture notes.

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'Algebra Notes'.

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'MT 111 Mich.Term 66 Examples 6'; '111 Algebra Examples 1'; ms draft 'Challenge Problem' and examination questions.

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'MT 111 Revision Notes Autumn 67'.

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'Course examinations January 1969 MT 111'; MT 111 vacation questions and model answers.

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Miscellaneous notes.

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Course summary, compiled summer 1981; example sheets; examination questions.

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Questionnaires on contents and style of Adams's algebra lectures completed by first year students 1980; requests from students for topics to be covered.

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'Algebra I' lecture notes.

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Students' questions, requests for guidance etc. These are on slips of paper clipped to drafts of Adams's replies.

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Miscellaneous notes.

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Lecture notes.

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Students' questions and requests for guidance on the course.

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Notes arising from '3 requests for work on duality'.

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'ALGEBRA IA'.

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'111 algebra: solutions to examples'.

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'ALGEBRA II'.

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Lecture notes.

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Algebra II question sheets.

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'Multilinear Algebra' lecture notes annotated '117 pages. Lecture at rate of 10 pages a lecture'.

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'Exterior Powers' lecture notes; 'MT 211 - Examples - Summer I'.

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'2nd year [summer-term] algebra course'.

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Miscellaneous notes.

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'F II algebra' lecture notes.

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'Chap.II Modules, Vector Spaces. Linear Algebra'.

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Notes on 'worked examples'.

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'Proposed schedule for third-year normal algebra course'; list of students; note of questions on the course raised by students.

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'Algebra course' lecture notes.

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'Chap.III. Fields' lecture notes.

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Examples, examination questions on commutative algebra for Part III of the Mathematical Tripos 1972.

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'Commutative Algebra' lecture notes.

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Draft examination questions, examples etc.

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Lecture notes.

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'Commutative Algebra, Version 2'.

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'Algebra for Applied Algebraists' lecture notes.

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'Algebra for Applied Algebraists' lecture notes; 'Modules over a principal ideal domain', duplicated ms notes.

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Exercises for Further Topics in Algebra course.

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Students' questions and requests for guidance on the course.

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Ms and typescript course notes.

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Lecture notes.

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Booklists circulated 27 April 1987; exercises for Lent Term 1987.

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Duplicated ms course notes.

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'Further Topics in Algebra' lecture notes.

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'IB Geometry' example sheets; correspondence from D W Babbage re geometry examination questions 1974-75.

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Questionnaires on content and style of Adams's IB geometry lectures completed by students 1974.

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Lecture notes.

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'Geometry hand-outs'.

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Questionnaires on Adams's geometry lectures completed by students 1982; letter from student requesting 'a lecture on lie groups' 25 April 1985, with ms notes on lie groups.

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Lecture notes for course of eight summer-term lectures. Some sheets marked 'OLD'.

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'Draft 3rd-year Geometry course' by Adams and J Peters; 'Draft Geometry Syllabus'.

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'Examples - Pl Geometry', set of duplicated ms sheets for geometry classes 9 October - 11 December 1967.

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'Geometry lecture notes'.

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Questionnaires on Adams's differential analysis and geometry lectures completed by third-year students 1979; duplicated ms course notes compiled by C B Thomas for 1988-89.

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Ms and duplicated typescript example sheets.

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'Diff[erenti]al Analysis and Geometry' lecture notes.

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Differential Analysis course notes.

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Two sets of completed questionnaires on Adams's differential analysis and geometry lectures. First set completed by third-year students 1985.

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Example sheets; students questions, requests for guidance etc.

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'Differential Analysis and Geometry' lecture notes.

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Miscellaneous notes.

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Attendance list for Adams's third-year homology course, summer term 1963; 4pp ms draft 'What is homology theory good for?'; miscellaneous notes.

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'Homology theory' lecture notes.

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'Extraordinary Cohomology Theories' lecture notes.

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Typescript notes for lectures 1-4.

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Typescript notes for lectures 5,6; ms lecture notes on K*(X).

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Miscellaneous lecture notes.

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'Homotopy Theory'.

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III Homotopy Theory'.

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Course outline; lists of students for 1980 and 1981; correspondence from R Luckwith re draft examination questions 1976 and 1981; etc.

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'Homotopy Theory' lecture notes.

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Homotopy theory exercises and examination questions 1982 and 1983; lists of students 1982; etc.

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Lecture notes.

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'Homotopy-Theory Exercises'; lists of students.

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Lecture notes.

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List of students 1985; examples sheets; draft examination questions, etc.

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'Notes on Homotopy'.

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'Homotopy theory'.

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'Advanced Homotopy Prof. J F Adams'.

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'Advanced Homotopy Theory'.

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'Adv. Htpy'.

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Lecture notes, annotated 'Add to other file of notes on Advanced htpy theory'.

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Ms draft and typescript Part III examination paper on further homotopy theory 1976; questionnaire on Adams's further homotopy theory course completed by third-year students 1976.

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'Further homotopy' lecture notes.

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'Calculating Homotopy Groups'.

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'Topology Diploma Courses Michaelmas Term 1970'; draft examination paper for Stable Homotopy Theory and Generalised Cohomology Theories, 1971; ms calculation (not in Adams's hand).

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Ms ?course outline.

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'Stable Homotopy and Generalised Cohomology' lecture notes.

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Draft letter to Arunas, 25 February 1986, re 'Young idempotents'.

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'Systematic phenomena in Mod p Homotopy Theory' lecture notes.

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Untitled lecture notes beginning 'Introduction to localisation. In homotopy theory, we have known for a long time that it is sufficient to attack our problems one prime at a time'.

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'K-theory'.

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'K-theory'.

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Example sheets; algebraic K-theory examination paper 1974.

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'Algebraic K-theory' lecture notes.

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?Introductory lecture notes.

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'Lie Groups' lecture notes.

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Ms example sheets; lie groups examination paper 28 May 1974; bibliography.

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List of students for Pt III class; etc.

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Lecture notes.

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'LIE GROUPS Lectures given in the University of Manchester, 1965, by J.F. Adams Notes by M.B.Mather'.

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Questionnaires on Adams's representation theory lectures completed by third-year students 1976, with Adams's 'Analysis of Replies...'; typescript 'Questions on representation theory'.

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'Representation Theory' lecture notes.

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'Worked Examples...'; ms notes beginning 'Dirac group of 32 matrices'; ms notes on 'The theory of group representation'.

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Miscellaneous notes.

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Students questions and requests for guidance; example sheets, dated 'Mich[aelmas]77'.

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'Lecture notes on Representation Theory'.

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Ms notes on Representation Theory'; ms notes 'For appendix'.

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Miscellaneous notes.

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'Rep Theory Examples, Hand-outs'.

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'Topology II' lecture notes, some on verso of 1963 Royal Society accounts.

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Continuation of the preceding on 'The Husenicz Isomorphism Theorem'.

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'Diploma Course on Alge[braic]. Topol'.

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'Reading List'.

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Algebraic topology examination paper 1979; letter from C R F Maunder 3 March 1980 re draft algebraic topology examination paper; course outline; etc.

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Example sheets.

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Lists of students etc.

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Lecture notes.

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Miscellaneous notes.

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'Diploma Course'.

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Correspondence with D S Kahn re the Kahn-Priddy Theorem, January-March 1972. Includes 'Applications of the transfer to stable homotopy theory' by Kahn and S B Priddy, 8pp typescript, and Adams's ms note 'Peter May on KAHN-PRIDDY THM'

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Two duplicated ms calculations by Adams; ms note beginning 'Frank: Here is a complete calculation of H⊂*;(C∞ S°)

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Lecture notes.

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Circular letter re 'Part III Mathematical Tripos 1988'; course outlines for 'Algebraic Topology' and 'Further Topics in Algebraic Topology'; example sheet; draft examination questions; etc.

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Lecture notes.

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'TOPOL'.

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'Analytic Topology Problems' May 1957; 8pp ms draft 'Connection in the Plane and Sphere'; ms list of 'Requests' ?from students.

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'Analytic Topology' lecture notes.

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Topology of Bundles and Classifying Spaces course outline 1974-75; examination paper 1975; 'Examples on Characteristic Classes'; questionnaires on Adams's topology of bundles course completed by students 1974.

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'Topology of Bundles & Classifying Spaces' lecture notes.

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'Manifolds' lecture notes.

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Miscellaneous lecture notes.

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'Cartan Theory'.

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Lecture notes on CW-complexes.

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'The Projective Class Group: Lecture Notes'.

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'Representations of the Classical Groups'.

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Notes on times of tutorials and syllabus, ms note on 'Algebra needed for Atiyah stuff', etc. Some on verso of 1962 example sheets.

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'Riemann surfaces and algebraic curves' lecture notes.

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Hardback notebook inscribed inside front cover 'Seminar Notes 1955/56, including British Mathematical Colloquium.' Used from the front for notes and calculations. At the back are loose notes.

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'B M C [British Mathematical Colloquium] lecture'.

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'Untitled draft beginning 'In this seminar I would like to give an account of some work which is to appear in the Proc. Camb. Phil. Soc. under the title "On Chern characters and the structure of the unitary group"' 8pp ms; 'S. P. Novikov on the cohomologies of the Steenrod algebra', 6pp typescript note on work of Sho-Kwan Chow.

(Bibliog. no.18)

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Ms notes.

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Invitation from N E Steenrod to deliver 'two expository lectures to the [Seattle Summer] Institute on the subject of cohomology operations', 6 May 1963.

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Adams was invited to give the London Mathematical Society's first J H C Whitehead Lecture.. 14pp ms draft of Whitehead Lecture with incomplete rough ms draft of ?later lecture to the London Mathematical Society, on verso of 1974 questionnaires.

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(Bibliog. no.63).

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(Bibliog. no. 65)

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Programme of and ms notes on '1986 BCAT', Institut d'Estudis Catalans, Barcelona, 2 - 8 April. Adams spoke on 'New proofs of two theorems of Jean Lannes'.

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Photocopied ms notes of Talks on 'Group characters and complex-oriented theories' by Nick K[?] delivered at Warwick 17 January 1987; and on 'Brownian motion and the Riemann function' by D.Williams delivered at Number Theory Seminar, Cambridge, 10 May 1988; etc.

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Ms, photocopied ms and typescript material re Williams's proposed 'seminar/workshop called Connections on differential geometry and its relation to probability and other subjects', 1988.

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'Topology of H-spaces', Cambridge 1959, 7pp; 'Talk on Fibre-Bundles for the Quintics', 7pp; 'On Loop Spaces', 11pp; 'Seminar for Manchester' on the analogy between topological spaces and chain complexes, 8pp.

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'Oxford Seminar' on cohomology operations of higher kinds, 6pp; 'Report on C.T.C. Wall's work on the Cobordism Algebra Ω', 6pp (see Bibliog. no.13; 'No more division algebras?', 10pp; plan of 'Seminar for Bonn. Heidelberg. Strasbourg', 1p.

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'Hatfield Seminar' on applying topological methods to analysis, 11pp; 'Cohomology operations', 11pp; 'Fundamental notions of manifolds', 9pp.

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Comments on lectures at 'Bonn' [?Mathematische Arbeitstagung], 9pp; 'Mahowald's Result on the J-homomorphism', 7pp; 'E.H.Brown's work on Cohomology Theories', 14pp.

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'Talk for Warwick', 10pp; 'Atiyah's work on the künreth theorem for Kᶜ*, 6pp; 'Talk to student teachers' on pure mathematics, 14pp.

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'Seminar: K-theory of infinite complexes', 16pp; 'Seminar on Atiyah-Singer', 8pp; 'More about the e-invariant', 13pp.

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'Cobordism', 14pp; 'Paris Talk (Draft 1)' on the K-theory of Grothendieck-Atiyah-Hirzebruch (in French), 15pp; 'A new method in Algebraic Topology', 10pp.

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'Work of Bronder Peterson & Liulevicius, 21pp; 'Seminar' on some of the lectures at the Morse symposium (1963, see C.391-C.393), 9pp; 'Kerraire on higher-dimensional knots', 4pp.

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Miscellaneous sets of ms notes on possible subjects and speakers for symposia, various dates.

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Rough ms draft 'Clifford Modules, Part II'.

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Ms drafts of seminars on A.B.S. (Atiyah-Bott-Shapiro), continuing the preceding.

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Rough ms drafts of lectures on 'Lie groups' and 'A-S [Atiyah-Singer] index theorem'.

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Rough ms draft of 'Seminar' on perverted naturality.

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Duplicated typescript text with Adam's ms annotation.

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Photocopied ms notes (not in Adam's hand).

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Notes on Cassels.

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Notes on Smithies.

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