Algebraic Topology

Couverture
Cambridge University Press, 2002 - 544 pages
In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.
 

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Table des matières

II
ix
III
1
IV
4
V
6
VI
10
VII
17
VIII
21
IX
25
XLVII
229
XLVIII
235
XLIX
245
L
248
LI
257
LII
264
LIII
277
LIV
288

X
30
XI
36
XII
37
XIII
39
XIV
46
XV
52
XVI
56
XVII
59
XVIII
66
XIX
79
XX
83
XXI
93
XXII
98
XXIV
100
XXV
104
XXVI
106
XXVII
109
XXVIII
124
XXIX
130
XXX
133
XXXI
145
XXXII
149
XXXIII
156
XXXV
158
XXXVI
162
XXXVII
165
XXXVIII
173
XXXIX
181
XL
186
XLI
193
XLII
202
XLIII
207
XLIV
214
XLV
220
XLVI
226
LV
299
LVI
307
LVII
317
LVIII
323
LIX
333
LX
335
LXI
336
LXII
342
LXIII
344
LXIV
348
LXV
356
LXVI
362
LXVII
371
LXVIII
380
LXIX
389
LXX
401
LXXI
406
LXXII
411
LXXIII
417
LXXIV
423
LXXV
425
LXXVI
427
LXXVII
444
LXXVIII
448
LXXIX
452
LXXX
456
LXXXI
462
LXXXII
466
LXXXIII
471
LXXXIV
483
LXXXV
515
LXXXVI
529
LXXXVII
535
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