Proximity spaces and topological functors

Autor:	W. N. Hunsaker, P. L. Sharma
Rok vydání:	1974
Předmět:	Subcategory Proximity space Morphism Functor Continuous function Applied Mathematics General Mathematics Structure (category theory) Topological space Uniform space Topology Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 45:419-425
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-1974-0353265-3
Popis:	The purpose of this paper is to determine what natural functors T : A → X T:{\mathbf {A}} \to {\mathbf {X}} are ( E , M ) (\mathcal {E},\mathfrak {M}) -topological, where A {\mathbf {A}} is a subcategory of the category of proximity or uniform spaces and X {\mathbf {X}} is an ( E , M ) (\mathcal {E},\mathfrak {M}) -category. We give necessary and sufficient conditions under which a point separating family of continuous functions can be nicely lifted to a proximally continuous family. Proximities having a finest compatible uniform structure are characterized.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a83eb43a25013424330cdd5ebe5f1f4a https://doi.org/10.1090/s0002-9939-1974-0353265-3 Zobrazit plný text záznamu