A Concise Course in Algebraic Topology

Front Cover
University of Chicago Press, 1999 - Mathematics - 243 pages
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.

J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
 

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Contents

II
7
III
7
IV
8
V
10
VII
13
VIII
14
X
15
XI
16
LXXV
121
LXXVI
122
LXXVII
123
LXXVIII
124
LXXIX
126
LXXX
129
LXXXI
130
LXXXII
131

XII
17
XIII
19
XIV
21
XV
22
XVI
23
XVII
25
XVIII
27
XIX
28
XX
29
XXI
33
XXII
34
XXIII
35
XXIV
37
XXVII
38
XXVIII
41
XXX
42
XXXI
43
XXXII
44
XXXIII
47
XXXIV
48
XXXV
49
XXXVI
50
XXXVII
51
XXXVIII
55
XXXIX
56
XL
57
XLI
59
XLIII
61
XLIV
63
XLV
64
XLVII
66
XLVIII
67
XLIX
71
L
72
LI
73
LII
74
LIII
75
LIV
76
LV
77
LVI
81
LVII
83
LVIII
84
LIX
89
LX
90
LXI
91
LXII
93
LXIII
94
LXIV
98
LXV
99
LXVI
101
LXVII
105
LXVIII
106
LXIX
107
LXX
108
LXXI
110
LXXII
112
LXXIII
115
LXXIV
117
LXXXIII
133
LXXXV
135
LXXXVI
136
LXXXVII
137
LXXXVIII
138
LXXXIX
140
XC
143
XCI
144
XCII
145
XCIII
146
XCIV
147
XCV
149
XCVI
151
XCVII
153
XCVIII
155
XCIX
158
C
161
CI
163
CII
164
CIII
166
CIV
167
CV
169
CVI
171
CVII
173
CVIII
175
CIX
178
CX
180
CXI
183
CXII
185
CXIII
187
CXIV
189
CXV
190
CXVI
192
CXVII
193
CXVIII
196
CXIX
199
CXX
202
CXXI
204
CXXII
207
CXXIII
209
CXXIV
211
CXXV
215
CXXVI
216
CXXVII
217
CXXVIII
220
CXXIX
222
CXXX
224
CXXXI
226
CXXXII
229
CXXXIV
231
CXXXIX
232
CXL
233
CXLII
234
CXLIII
235
CXLIV
236
CXLVI
237
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About the author (1999)

J. P. May is professor of mathematics at the University of Chicago. He is author or coauthor of many books, including Simplicial Objects in Algebraic Topology and Equivalent Homotopy and Cohomology Theory.

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