Algebraic Topology: A First Course

Front Cover
Westview Press, Jan 1, 1981 - Mathematics - 311 pages
1 Review
Great first book on algebraic topology. Introduces (co)homology through singular theory.
 

What people are saying - Write a review

User Review - Flag as inappropriate

i want to read it

Contents

Spherical Complexes
112
Betti Numbers and Enter Characteristic
128
Cell Complexes and More Adjunction Spaces
134
Orientation and Duality on Manifolds
153
Introduction to Part ID
155
Orientation of Manifolds
157
Singular Cohomology
174
Cup and Cap Products
195

Introduction to Part II
39
Affine Preliminaries
41
Singular Theory
44
Oiain Complexes
52
Homotopy Invariance of Homology
59
Relation Between and H
63
Relative Homology
70
The Exact Homology Sequence
75
The Excision Theorem
82
Further Applications to Spheres
94
MayerVietoris Sequence
98
The JordanBrouwer Separation Theorem
106
Algebraic limits
208
Poincare Duality
215
Alexander Duality
230
Lefechetz Duality
237
PartrV Products and Lefscbetz Fixed Point Theorem
247
Introduction to Part IV
249
Products
251
Thorn Class and Leftehetz Fixed Point Theorem
276
Intersection Numbers and Cup Products
290
Table of Symbols
301
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 131 - Let F be the number of faces, E the number of edges, V the number of vertices. Then
Page 304 - N. Steenrod, Foundations of Algebraic Topology, Princeton Univ. Press, Princeton, New Jersey (1952).
Page 306 - Knots and Links, Mathematics Lecture Series, 7, Publish or Perish Inc., 1976.
Page 267 - are free and acyclic, then F and F
Page 304 - P. Hilton and S. Wylie, Homology Theory, Cambridge University Press, London and New York ( 1960).
Page 19 - (A subspace A of a space X is a strong deformation retract of
Page 306 - M. Cohen, A Course in Simple-Homotopy Theory, Graduate Texts in Mathematics, 10, Springer-Verlag,
Page 306 - J. Milnor, Lectures on the h-Cobordism Theorem, Princeton Mathematical Notes, Princeton Univ. Press,

References to this book

Algebra
Serge Lang
Limited preview - 2005
All Book Search results »

Bibliographic information