# Adams Memorial Symposium on Algebraic Topology: Volume 1 by Nigel Ray, Grant Walker

By Nigel Ray, Grant Walker

J. Frank Adams had a profound impact on algebraic topology, and his works proceed to form its improvement. The foreign Symposium on Algebraic Topology held in Manchester in the course of July 1990 was once devoted to his reminiscence, and almost all the world's prime specialists took half. This two-volume paintings constitutes the court cases of the symposium. The articles contained right here variety from overviews to experiences of labor nonetheless in development, in addition to a survey and entire bibliography of Adams' personal paintings. those court cases shape a big compendium of present learn in algebraic topology, and person who demonstrates the intensity of Adams' many contributions to the topic. the following within the first quantity the subject matter is especially volatile homotopy conception, homological and express algebra. the second one quantity is orientated towards reliable homotopy thought, the Steenrod algebra and the Adams spectral series.

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Table of Contents

I. common TOPOLOGY.

1. Set idea and Logic.

2. Topological areas and non-stop Functions.

three. Connectedness and Compactness.

four. Countability and Separation Axioms.

five. The Tychonoff Theorem.

6. Metrization Theorems and Paracompactness.

7. entire Metric areas and serve as Spaces.

eight. Baire areas and measurement Theory.

II. ALGEBRAIC TOPOLOGY.

nine. the basic Group.

10. Separation Theorems within the Plane.

11. The Seifert-van Kampen Theorem.

12. class of Surfaces.

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37. A survey of homotopy theory, Proc. Internat. Congr. Math. 1966, MIR, Moscow 1968, 33-43. 38. Lectures on Lie groups, W. A. , New York 1969. (Reprinted by Univ. ) 39. Lectures on generalised cohomology, in Category Theory, Homology Theory and their Applications III, Lecture Notes in Math. 99, Springer 1969, 1-138. 40. A variant of E. H. Brown's representability theorem, Topology 10 (1971), 185-198. 41. (with H. R. Margolis) Modules over the Steenrod algebra, Topology 10 (1971), 271-282. 42. (with A.

Thus, for example, the product (10 b) ® (a 0 1) in a twisted tensor product has been perturbed by adding a term in A

64 (1958), 279-282. 12. Theorie de 1'homotopie stable, Bull. Soc. Math. France 87 (1959), 277-280. 13. Expose sur les travaux de C. T. C. Wall sur l'algebre de cobordisme Il, Bull. Soc. Math. France 87 (1959), 281-284. 14. On the non-existence of elements of Hopf invariant one, Ann. of Math. 72 (1960), 20-104. 15. Appendix to a paper of E. R. Reifenberg, Acta Math. 104 (1960), 76-91. Bibliography of J. F. Adams 23 16. The sphere, considered as an H-space mod p, Quart. J. Math. Oxford Ser. (2), 12 (1961), 52-60.