Another note on almost continous mappings and Baire spaces

Jingcheng Tong

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-2

Abstract:

The following result is proved:

Let Y be a second countable, infinite topological space with an ascending chain of regular open sets. 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 another improvement of a theorem of Lin and Lin [2].

Date: 1984
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DOI: 10.1155/S0161171284000661

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