Name
Abstract | ||
|---|---|---|
Having as starting point Barr's description of topological spaces as lax algebras for the ultrafilter monad (2), in this paper we present further topological examples of lax algebras - such as quasi-metric spaces, approach spaces and quasi-uniform spaces - and show that, in a suitable setting, the categories of lax algebras have indeed a topological nature. Further- more, we generalize to this setting known properties of special categories of lax algebras and, extending the construction of Manes (12), we describe the ˇ Cech-Stone compactification of lax algebras. Mathematics Subject Classification: 18C20, 18A40, 18B30, 54B30, 54A20, 54E15. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1023/A:1024274315778 | Applied Categorical Structures |
Keywords | DocType | Volume |
(lax) monad,(lax) algebra,ultrafilter monad,topological space,approach space,quasi-uniform space,Čech–Stone compactification | Journal | 11 |
Issue | ISSN | Citations |
3 | 1572-9095 | 16 |
PageRank | References | Authors |
6.32 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maria Manuel Clementino | 1 | 61 | 25.61 |
| Dirk Hofmann | 2 | 73 | 25.09 |