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A geometric approach to homology theory / by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 18.Publisher: Cambridge : Cambridge University Press, 1976Description: 1 online resource (149 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511662669 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 514/.23 19
LOC classification:
  • QA611 .B85 1976
Online resources: Summary: 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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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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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