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
IX
15
X
16
LXXI
121
LXXII
122
LXXIII
123
LXXIV
124
LXXV
126
LXXVI
129
LXXVII
130
LXXVIII
131

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