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摘要


We prove the following theorem: THEOREM. Let Y be a second countable, infinite R_0-space. If there are countably many open sets 0_1,0_2,...,0_n,... in Y such that 0_1□0_2□... □0_n□..., 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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