Algebraic and Differential Topology

1st Edition

R. V. Gamkrelidze

CRC Press
Published March 6, 1987
Reference - 252 Pages
ISBN 9782881240355 - CAT# TF2611
Series: Classics of Soviet Mathematics

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Summary

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.

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