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A note of almost continuous mappings and Baire spaces
1983
International Journal of Mathematics and Mathematical Sciences
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We prove the following theorem: THEOREM. LetYbe a second countable, infiniteR0-space. If there are countably many open sets01,02,...,0n,...inYsuch that01⫋02⫋...⫋0n⫋..., then a topological spaceXis a Baire space if and only if every mappingf:X→Yis almost continuous on a dense subset ofX. It is an improvement of a theorem due to Lin and Lin [2].
doi:10.1155/s0161171283000198
fatcat:3zvm3ttsqrh3hnvbyt2gdu7l74