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buonchristiano s.; rourke c. p.; sanderson b. j. - a geometric approach to homology theory

A Geometric Approach to Homology Theory

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 04/1976





Trama

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.




Sommario

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




Prefazione

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.










Altre Informazioni

ISBN:

9780521209403

Condizione: Nuovo
Collana: London Mathematical Society Lecture Note Series
Dimensioni: 230 x 10 x 150 mm Ø 240 gr
Formato: Brossura
Pagine Arabe: 156


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