On generalized equilogical spaces

Ribeiro, Willian

doi:10.48550/arxiv.1811.08240

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As observed by Rosický, the exact completion of Top relates to the cartesian closed category of equilogical spaces [BBS04]. Analogously, our approach leads to the study of generalized equilogical spaces, as developed in [Rib18].…”

Section: Introductionmentioning

confidence: 74%

Cartesian closed exact completions in topology

Clementino

Hofmann

Ribeiro

2020

Journal of Pure and Applied Algebra

Self Cite

View full text Add to dashboard Cite

Using generalized enriched categories, in this paper we show that Rosický's proof of cartesian closedness of the exact completion of the category of topological spaces can be extended to a wide range of topological categories over Set, like metric spaces, approach spaces, ultrametric spaces, probabilistic metric spaces, and bitopological spaces. In order to do so we prove a sufficient criterion for exponentiability of (T, V )-categories and show that, under suitable conditions, every injective (T, V )-category is exponentiable in (T, V )-Cat.

show abstract

Section: Introductionmentioning

confidence: 74%