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

Auteur: Buoncristiano, Sandro - AuteurCo-auteur: Rourke, Colin Patrick (1943-) - Auteur ; Sanderson, Brian Joseph (1939-) - AuteurType de document: MonographieCollection: London Mathematical Society lecture note series ; 18Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 1976Description: 1 vol. (149 p.) : ill. ; 23 cm ISBN: 9780521209403 ; br. Résumé: 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. (source : CUP).Bibliographie: Notes bibliogr.. Sujets MSC: 55N20 Algebraic topology -- Homology and cohomology theories -- Generalized (extraordinary) homology and cohomology theories
55S25 Algebraic topology -- Operations and obstructions -- K-theory operations and generalized cohomology operations
57R15 Manifolds and cell complexes -- Differential topology -- Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
57Q05 Manifolds and cell complexes -- PL-topology -- General topology of complexes
18F20 Category theory; homological algebra -- Categories and geometry -- Presheaves and sheaves
18G30 Category theory; homological algebra -- Homological algebra -- Simplicial sets, simplicial objects (in a category)
En-ligne: Zentralblatt | MathSciNet | CUP
Location Call Number Status Date Due
Salle R 05532-01 / 55 BUO (Browse Shelf) Available

Notes bibliogr.

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. (source : CUP)

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