A Geometric Approach to Homology Theory PDF Download

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A Geometric Approach to Homology Theory

A Geometric Approach to Homology Theory PDF Author: S. Buoncristiano
Publisher: Cambridge University Press
ISBN: 0521209404
Category : Mathematics
Languages : en
Pages : 157

Book Description
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.