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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.Publication details: Cambridge [England] ; New York : Cambridge University Press, ©1976.Description: 1 online resource (149 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107087101
  • 1107087104
  • 9780511662669
  • 0511662661
  • 1139883674
  • 9781139883672
  • 1107102022
  • 9781107102026
  • 1107093309
  • 9781107093300
Subject(s): Genre/Form: Additional physical formats: Print version:: Geometric approach to homology theory.DDC classification:
  • 514/.23 22
LOC classification:
  • QA611 .B85 1976eb
Other classification:
  • 31.61
  • SI 320
  • SK 300
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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Spine title: Homology theory.

Includes bibliographical references.

Print version record.

English.

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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