On Gr-Functors between Gr-Categories: Obstruction theory for Gr-Functors of the type $(φ,f)$
| dc.creator | Quang, Nguyen Tien | |
| dc.date | 2007-08-09 | |
| dc.date | 2009-04-18 | |
| dc.date.accessioned | 2026-07-07T13:05:24Z | |
| dc.date.available | 2026-07-07T13:05:24Z | |
| dc.description | Each Gr-functor of the type $(φ,f)$ of a Gr-category of the type $(Π,\C)$ has the obstruction be an element $\overline{k}\in H^3(Π,\C).$ When this obstruction vanishes, there exists a bijection between congruence classes of Gr-functors of the type $(φ,f)$ and the cohomology group $H^2(Π,\C).$ Then the relation of Gr-category theory and the group extension problem can be established and used to prove that each Gr-category is Gr-equivalent to a strict one. | |
| dc.description | 12 pager, For reduction, the abstract and subsection 1.1 have been edited; section 2 and the beginning of section 5 have been omitted. The definition of the functors of the type $(φ,f)$ has been introduced in order to represent some theorems and their proofs in other words | |
| dc.identifier | https://arxiv.org/abs/0708.1348 | |
| dc.identifier | http://arxiv.org/abs/0708.1348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227478 | |
| dc.subject | Category Theory | |
| dc.subject | 18D10 (Primary), 20J05 (Secondary) | |
| dc.title | On Gr-Functors between Gr-Categories: Obstruction theory for Gr-Functors of the type $(φ,f)$ | |
| dc.type | text |