On weaker forms of compactness Lindelöfness and countable compactness

Autor:	D. Baboolal, J. Backhouse, R. G. Ori
Jazyk:	angličtina
Rok vydání:	1990
Předmět:	e-compact e-countably compact e-Lindelöf pseudocompact separable. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 13, Iss 1, Pp 55-59 (1990)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171290000084
Popis:	A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed. Amongst other results we show that an e-countably compact space is pseudocompact, and an example of a space which is pseudocompact but not e-countably compact with respect to any dense set is presented. We also show that every e-Lindelöf metric space is separable.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a91daee18bc845e18ad91c268198ab97 Zobrazit plný text záznamu Plný text View record in DOAJ