Abstract
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⫋…⫋0n⫋…, 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 an improvement of a theorem due to Lin and Lin [2].
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