Mappings and decompositions of continuity on almost Lindelˋf spaces

作者:A J Fawakhreh; A Kili man
来源:International Journal of Mathematics and Mathematical Sciences, 2006.
DOI:10.1155/ijmms/2006/98760

摘要

A topological space X is said to be almost Lindel%26#xF6;f if for every open cover {U%26#x03B1;:%26#x03B1;%26#x2208;%26#x0394;} of X there exists a countable subset {%26#x03B1;n:n%26#x2208;%26#x2115;}%26#x2286;%26#x0394; such that X=%26#x222A;n%26#x2208;%26#x2115;Cl(U%26#x03B1;n). In this paper we study the effect of mappings and some decompositions of continuity on almost Lindel%26#xF6;f spaces. The main result is that a image of an almost Lindel%26#xF6;f space is almost Lindel%26#xF6;f.

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