$f_{\delta}$-Open Sets in Fine Topological Spaces

Autor:	P. Powar, Baravan Asaad, J. K. Maitra, Ramratan Kushwaha
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	fine open sets $f_{\delta}$-open sets $f_{\delta}$-closed sets $f_{\delta}$-$g$-closed set $f_{\delta}$-separation axioms Mathematics QA1-939
Zdroj:	Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 131-149 (2024)
Druh dokumentu:	article
ISSN:	2322-5807 2423-3900
DOI:	10.22130/scma.2023.1989720.1256
Popis:	In this paper, the concept of $\delta$-cluster point on a set which belongs to the collection of fine open sets generated by the topology $\tau$ on $X$ has been introduced. Using this definition, the idea of $f_\delta$-open sets is initiated and certain properties of these sets have also been studied. On the basis of separation axioms defined over fine topological space, certain types of $f_\delta$-separation axioms on fine space have also been defined, along with some illustrative examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8873ad19e6ca4592bcd7c5d7b5aaf74e Zobrazit plný text záznamu View record in DOAJ