Another note on almost continous 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].
متن کاملA 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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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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In this paper we study the conditions under which a fuzzy topological space becomes a fuzzy almost resolvable space and the inter-relations between fuzzy almost resolvable, fuzzy almost irresolvable spaces, fuzzy submaximal spaces, fuzzy first category spaces, fuzzy Baire spaces, fuzzy weakly Volterra spaces are also investigated.
متن کاملMappings and decompositions of continuity on almost Lindelöf spaces
Among the various covering properties of topological spaces a lot of attention has been given to those covers which involve open and regularly open sets. In 1982 Balasubramanian [4] introduced and studied the notion of nearly Lindelöf spaces and in 1984 Willard and Dissanayake [21] gave the notion of almost Lindelöf spaces. Then in 1996 Cammaroto and Santoro [5] studied and gave further new res...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1984
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171284000661