文章基本信息

标题：A note of almost continuous mappings and Baire spaces
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作者：Jing Cheng Tong
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].