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.