The quasitopos hull of the construct of closure spaces

Autor:	Veerle Claes, G. Sonck
Jazyk:	angličtina
Rok vydání:	2003
Předmět:	Topological construct Closure space Extensional topological construct Quasitopos Cartesian closed category Cartesian closed topological hull Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 4, Iss 1, Pp 15-24 (2003)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2003.2006
Popis:	In the list of convenience properties for topological constructs the property of being a quasitopos is one of the most interesting ones for investigations in function spaces, differential calculus, functional analysis, homotopy theory, etc. The topological construct Cls of closure spaces and continuous maps is not a quasitopos. In this article we give an explicit description of the quasitopos topological hull of Cls using a method of F. Schwarz: we first describe the extensional topological hull of Cls and of this hull we construct the cartesian closed topological hull.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c7da0cd2226c4fb4b7f4f48e7e0b503f Zobrazit plný text záznamu View record in DOAJ