Author(s):
Clementino, Maria Manuel 
; Hofmann, Dirk
Date: 2003
Persistent ID: http://hdl.handle.net/10316/7752
Origin: Estudo Geral - Universidade de Coimbra
Document details
Topological Features of Lax Algebras
Description
Having as starting point Barr's description of topological spaces as lax algebras for the ultrafilter monad, 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. Furthermore, we generalize to this setting known properties of special categories of lax algebras and, extending the construction of Manes, we describe the Cech–Stone compactification of lax algebras. http://dx.doi.org/10.1023/A:1024274315778
Having as starting point Barr's description of topological spaces as lax algebras for the ultrafilter monad, 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. Furthermore, we generalize to this setting known properties of special categories of lax algebras and, extending the construction of Manes, we describe the Cech–Stone compactification of lax algebras. http://dx.doi.org/10.1023/A:1024274315778
Document Type
Article
Language English
Language English
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