A Note on Almost Continuous Mappings and Baire Spaces
نویسنده
چکیده
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].
منابع مشابه
A note on Volterra and Baire spaces
In Proposition 2.6 in (G. Gruenhage, A. Lutzer, Baire and Volterra spaces, textit{Proc. Amer. Math. Soc.} {128} (2000), no. 10, 3115--3124) a condition that every point of $D$ is $G_delta$ in $X$ was overlooked. So we proved some conditions by which a Baire space is equivalent to a Volterra space. In this note we show that if $X$ is a monotonically normal $T_1...
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