On separation axioms of uniform bundles and sheaves

Autor:	Clara M. Neira U., Januario Varela
Jazyk:	angličtina
Rok vydání:	2004
Předmět:	Uniform bundle Sheaf of sets Lower semicontinuity Upper semicontinuity Separation axioms Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 5, Iss 2, Pp 155-171 (2004)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147 64784053
DOI:	10.4995/agt.2004.1966
Popis:	In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with local sections. In this paper we show that the additional hypothesis of lower semicontinuity of these functions secures that the fiber space of the uniform bundle is Hausdorff, regular or completely regular provided that the base space has the corresponding separation axiom. Similar results for the particular important case of sheaves of sets follow suit.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/64784053369743ba8ad66542607c3c32 Zobrazit plný text záznamu View record in DOAJ