A geometric approach to homology theory / S. Buoncristiano, C. P. Rourke, B. J. Sanderson
Type de document : MonographieCollection : London Mathematical Society lecture note series, 18Langue : anglais.Pays: Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1976Description : 1 vol. (149 p.) : ill. ; 23 cmISBN: 9780521209403.ISSN: 0076-0552.Bibliographie : Notes bibliogr..Sujet MSC : 55N20, Homology and cohomology theories in algebraic topology, Generalized (extraordinary) homology and cohomology theories55S25, Operations and obstructions in algebraic topology, K-theory operations and generalized cohomology operations
57R15, Manifolds and cell complexes - Differential topology, Specialized structures on manifolds
57Q05, Manifolds and cell complexes - PL-topology, General topology of complexes
18F20, Categories in geometry and topology, Presheaves and sheaves, stacks, descent conditions
18N50, Higher categories and homotopical algebra, Simplicial sets, simplicial objectsEn-ligne : Zentralblatt | MathSciNet | CUP Item type:
Monographie
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle R | 55 BUO (Browse shelf(Opens below)) | Available | 05532-01 |
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)
There are no comments on this title.