LMS: 18 Geometric Homolgy Theory

LMS: 18 Geometric Homolgy Theory First Edition book cover

LMS: 18 Geometric Homolgy Theory First Edition

Author(s): S. Buonchristiano (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Edition: First Edition
  • Language: English
  • Print length: 156 pages
  • ISBN-10: 9780521209403
  • ISBN-13: 0521209404

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.

Editorial Reviews

Book Description

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories.

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