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Title: | Topological Features of Lax Algebras | Authors: | Clementino, Maria Manuel Hofmann, Dirk |
Issue Date: | 2003 | Citation: | Applied Categorical Structures. 11:3 (2003) 267-286 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/7752 | DOI: | 10.1023/A:1024274315778 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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