ENGLISH

Algebraic Topology: A First Course

By William Fulton

Book information

Publisher
Springer New York
Year
2008
ISBN
0387943277, 9780387943275
LCC
QA612 .F85 1995
Open Library ID
OL1097154M
Language
english
Format
DJVU
Filesize
7 MB (7763434 bytes)
Series
Graduate texts in mathematics 153
Edition
1., st ed. 1995. Corr. 2nd printing
Pages
446\446
Time added
2013-05-19 11:56:15

Description

This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology. The first part of the book emphasizes relations with calculus and uses these ideas to prove the Jordan curve theorem. The study of fundamental groups and covering spaces emphasizes group actions. A final section gives a taste of the generalization to higher dimensions.

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