Geometric Approach to Homology Theory

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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 esp...
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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 esp...
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  • Formats: pdf
  • ISBN: 9780511662669
  • Publication Date: 5 Apr 2013
  • Publisher: Cambridge University Press
  • Product language: English
  • Drm Setting: DRM