A Geometric Approach to Homology Theory
A Geometric Approach to Homology Theory
C. P. Rourke
B. J. Sanderson
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USDThe 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.
Product details
May 2013Adobe eBook Reader
9781107107496
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 1. Homotopy functors
- 2. Mock bundles
- 3. Coefficients
- 4. Geometric theories
- 5. Equivariant theories and operations
- 6. Sheaves
- 7. The geometry of CW complexes.
