Covering Topology Countability Based on a Subbasis

Autor:	Xian-yong Zhang, Zhi-wen Mo, Yi-chun Huang
Rok vydání:	2017
Předmět:	Topological property Mathematics::Logic Computer science Mathematics::General Topology Countable set Rough set Topology Topology (chemistry)
Zdroj:	Advances in Intelligent Systems and Computing ISBN: 9783319665139
DOI:	10.1007/978-3-319-66514-6_6
Popis:	Covering topology is induced by covering rough sets, and its topological property is worth researching. In this paper, covering topology countability is studied by a subbasis. At first, basic definitions and properties are achieved for the covering topology countability based on a subbasis, including the first and second countability. Then, the relevant connections between countability and separability are revealed. Finally, three examples are given for illustration. This study establishes subbasis -based countability to deepen covering topology.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c5ee2fc660576e5a6e8cc3837a8cec1 https://doi.org/10.1007/978-3-319-66514-6_6 Zobrazit plný text záznamu