Study of a Forwarding Chain in the Category of Topological Spaces between T0 and T2 with respect to One Point Compactification Operator

Autor:	Fatemah Ayatollah Zadeh Shirazi, Meysam Miralaei, Fariba Zeinal Zadeh Farhadi
Rok vydání:	2014
Předmět:	Subcategory Discrete mathematics Alexandroff extension Pure mathematics Computer Networks and Communications Topological space Isolated point End Chain (algebraic topology) Hardware and Architecture Metrization theorem Category of topological spaces Software Mathematics
Zdroj:	Chinese Journal of Mathematics. 2014:1-10
ISSN:	2314-8071
DOI:	10.1155/2014/541538
Popis:	In the following text, we want to study the behavior of one point compactification operator in the chain Ξ := {Metrizable, Normal, T2, KC, SC, US, T1, TD, TUD, T0, Top} of subcategories of category of topological spaces, Top (where we denote the subcategory of Top, containing all topological spaces with property P , simply by P). Actually we want to know, for P∈Ξ and X∈P, the one point compactification of topological space X belongs to which elements of Ξ. Finally we find out that the chain {Metrizable, T2, KC, SC, US, T1, TD, TUD, T0, Top} is a forwarding chain with respect to one point compactification operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c48975be8215b42291dbe83c5742399 https://doi.org/10.1155/2014/541538 Zobrazit plný text záznamu Plný text