期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:1983
卷号:6
DOI:10.1155/S0161171283000198
出版社:Hindawi Publishing Corporation
摘要:We prove the following theorem: THEOREM. Let Y be a second countable, infinite R0-space. If there are countably many open sets 01,02,…,0n,… in Y such that 01⫋02⫋…⫋0n⫋…, then a topological space X is a Baire space if and only if every mapping f:X→Y is almost continuous on a dense subset of X. It is an improvement of a theorem due to Lin and Lin [2].