A Kleisli-based approach to lax algebras
| dc.creator | Seal, Gavin J. | |
| dc.date | 2005-10-13 | |
| dc.date | 2006-08-08 | |
| dc.date.accessioned | 2026-07-07T06:47:27Z | |
| dc.date.available | 2026-07-07T06:47:27Z | |
| dc.description | By exploiting the description of topological spaces by either neighborhood systems or filter convergence, we obtain a neighborhood-like presentation of categories of lax algebras. A notable advantage of this approach is that it does not require the introduction of a lax extension of the associated monad functor. As a byproduct, the different philosophies underlying the construction of fuzzy topological spaces on one hand, and approach spaces on the other, may be simply expressed in terms of lax algebras. | |
| dc.description | 15 pages. Revised version of the paper: some notation/wording modifications, improvement of Prop 3.3 i), presentation of the category of Kleisli (T,V)-algebras as a tower extension of Kl(T) | |
| dc.identifier | https://arxiv.org/abs/math/0510281 | |
| dc.identifier | http://arxiv.org/abs/math/0510281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103657 | |
| dc.subject | Category Theory | |
| dc.subject | General Topology | |
| dc.subject | 18C20 (Primary) 18B30, 54A05 (Secondary) | |
| dc.title | A Kleisli-based approach to lax algebras | |
| dc.type | text |