Algebraic Topology

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Springer Science & Business Media, Dec 6, 1994 - Mathematics - 548 pages
4 Reviews
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.
 

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This is the classical introduction to algebraic topology. However, because of the tight writing style, the book serves better as a reference than as a text. Read full review

Contents

II
1
III
4
IV
6
V
7
VI
9
VII
12
VIII
14
IX
18
L
227
LI
236
LII
241
LIII
248
LIV
255
LV
263
LVI
269
LVII
276

X
22
XI
27
XII
33
XIII
39
XIV
45
XV
50
XVI
56
XVII
60
XVIII
62
XIX
65
XX
70
XXI
74
XXII
79
XXIII
85
XXIV
89
XXV
96
XXVI
103
XXVII
106
XXVIII
108
XXIX
114
XXX
121
XXXI
126
XXXII
129
XXXIII
134
XXXIV
139
XXXV
143
XXXVI
149
XXXVII
154
XXXVIII
156
XXXIX
162
XL
167
XLI
173
XLII
179
XLIII
186
XLIV
193
XLV
199
XLVI
205
XLVII
210
XLVIII
212
XLIX
219
LVIII
284
LIX
286
LX
292
LXI
299
LXII
306
LXIII
311
LXIV
315
LXV
323
LXVI
329
LXVII
338
LXVIII
346
LXIX
356
LXX
362
LXXI
364
LXXII
371
LXXIII
379
LXXIV
387
LXXV
393
LXXVI
400
LXXVII
406
LXXVIII
412
LXXIX
418
LXXX
422
LXXXI
424
LXXXII
432
LXXXIII
437
LXXXIV
445
LXXXV
452
LXXXVI
460
LXXXVII
464
LXXXVIII
466
LXXXIX
473
XC
481
XCI
490
XCII
498
XCIII
504
XCIV
512
XCV
518
XCVI
521
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