Simplicial objects in algebraic topology (Book, 1992) [WorldCat.org]
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Simplicial objects in algebraic topology

Author: J Peter May
Publisher: Chicago : University of Chicago Press, 1992, ©1967.
Series: Chicago lectures in mathematics.
Edition/Format:   Print book : English
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Document Type: Book
All Authors / Contributors: J Peter May
ISBN: 0226511812 9780226511818
OCLC Number: 27838103
Notes: Previously published: Chicago : University of Chicago Press, 1982, in its series: Midway reprints. Originally published: 1967.
Description: viii, 161 pages ; 22 cm.
Contents: I. SIMPLICIAL OBJECTS AND HOMOTOPY, p.1 --
1. Definitions and examples, p.1 --
2. Simplicial objects in categories; homology, p.3 - 3. Homotopy of Kan complexes, p.5 --
4. The group structures, p.9 --
5. Homotopy of simplicial maps, p.12 --
6. Function complexes, p.16 --
Bibliographical notes on chapter I., p.24 --
II. FIBRATIONS, POSTNIKOV SYSTEMS, AND MINIMAL COMPLEXES, p.25 --
7. Kan fibrations, p.25 --
8. Postnikov systems, p.31 --
9. Minimal complexes, p.35 --
10. Minimal fibrations, p.40 --
11. Fibre products and fibre bundles, p.43 --
12. Weak homotopy type, p.46 --
13. The Hurewicz theorems, p.50 --
Bibliographical notes on chapter II., p.54 --
III. GEOMETRIC REALIZATION, p.55 --
14. The realization, p.55 --
15. Adjoint functors, p.59 --
16. Comparison of simplicial sets and topological spaces, p.61 --
Bibliographical notes on chapter III., p.66 IV. TWISTED CARTESIAN PRODUCTS AND FIBRE BUNDLES, p.67 --
17. Simplicial groups, p.67 --
18. Principal fibrations and twisted Cartesian products, p.70 --
19. The group of a fibre bundle, p.74 --
20. Fibre bundles and twisted Cartesian products, p.80 --
21. Universal bundles and classifying complexes, p.83 --
Bibliographical notes on chapter IV., p.92 --
V. EILENBERG-MACLANE COMPLEXES AND POSTNIKOV SYSTEMS, p.93 --
22. Simplicial Abelian groups, p.93 --
23. Eilenberg-MacLane complexes, p.98 --
24. K(77, n)'s and cohomology operations, p.103 --
25. The k-invariants of Postnikov systems, p.107 --
Bibliographical notes on chapter V., p.116 --
VI. LOOP GROUPS, ACYCLIC MODELS, AND TWISTED TENSOR PRODUCTS, p.117 --
26. Loop groups, p.118 --
27. The functors G, if, and E, p.122 --
28. Acyclic models, p.126 --
29. The Eilenberg-Zilber theorem, p.129 --
30. Cup, Pontryagin, and cap products; twisting cochains, p.135 --
31. Brown's theorem, p.141 --
32. The Serre spectral sequence, p.149 --
Bibliographical notes on chapter VI., p.154 --
Bibliography, p.157.
Series Title: Chicago lectures in mathematics.
Responsibility: J. Peter May.

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