On the homology theory of fibre spaces
| dc.creator | Kadeishvili, Tornike | |
| dc.date | 2005-04-21 | |
| dc.date.accessioned | 2026-07-07T05:19:19Z | |
| dc.date.available | 2026-07-07T05:19:19Z | |
| dc.description | The $A(\inft)$-algebra structure in homology of a DG-algebra is constructed. This structure is unique up to isomorphism of $A(\infty)$ algebras. Connection of this structure with Massey products is indicated. The notion of $A(\infty)$-module over an $A(\infty)$-algebra is introduced and such a structure is constructed in homology of a DG-modules over a DG-algebra. The theory of twisted tensor products is generalized from the case of DG-algebras to the case of $A(\infty)$-algebras. These algebraic results are used to describe homology of classifying spaces, cohomology of loop spaces, and homology of fibre bundles. | |
| dc.description | 8 pages. This is the English version of the paper published originally in Russian | |
| dc.identifier | https://arxiv.org/abs/math/0504437 | |
| dc.identifier | http://arxiv.org/abs/math/0504437 | |
| dc.identifier | Uspekhi Mat. Nauk 35:3 (1980), 183-188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74976 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55S30, 55R20, 55U15 | |
| dc.title | On the homology theory of fibre spaces | |
| dc.type | text |