The twisted Cartesian model for the double path fibration
| dc.creator | Kadeishvili, Tornike | |
| dc.creator | Saneblidze, Samson | |
| dc.date | 2002-10-15 | |
| dc.date | 2004-10-01 | |
| dc.date.accessioned | 2026-07-07T04:51:57Z | |
| dc.date.available | 2026-07-07T04:51:57Z | |
| dc.description | In the paper the notion of truncating twisting function from a cubical set to a permutahedral set and the corresponding notion of twisted Cartesian product of these sets are introduced. The latter becomes a permutocubical set that models in particular the path fibration on a loop space. The chain complex of this twisted Cartesian product in fact is a comultiplicative twisted tensor product of cubical chains of base and permutahedral chains of fibre. This construction is formalized as a theory of twisted tensor products for Hirsch algebras. | |
| dc.description | 37 pages, 8 figures, This final version (10-01-04) clarifies a number of issues in earlier version and includes computational examples | |
| dc.identifier | https://arxiv.org/abs/math/0210224 | |
| dc.identifier | http://arxiv.org/abs/math/0210224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65297 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55R05, 55P35, 55U05, 52B05, 05A18, 05A19 | |
| dc.title | The twisted Cartesian model for the double path fibration | |
| dc.type | text |