A note of almost continuous mappings and Baire spaces
نویسندگان
چکیده
منابع مشابه
A Note on Almost Continuous Mappings and Baire Spaces
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 0..., then a topological space X is a Baire space if and only if every mapping f: XY is almost continuous on a dense subset of X. It is an improvement of a theorem due to Lin and Lin [2].
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1983
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171283000198