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  3. A Geometric Approach to Homology Theory
  • Cited by 49
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
1976
Online ISBN:
9780511662669
DOI:
https://doi.org/10.1017/CBO9780511662669
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (18)
Information

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.

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