Articoli correlati a LMS: 18 Geometric Homolgy Theory

9780521209403: LMS: 18 Geometric Homolgy Theory

Sinossi

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

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Descrizione del libro

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 generalised bordism theory.

Contenuti

1. Homotopy functors; 2. Mock bundles; 3. Coefficients; 4. Geometric theories; 5. Equivariant theories and operations; 6. Sheaves; 7. The geometry of CW complexes.

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