Volodymyr Mykhaylyuk
Abstract
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A notion of strongly Baire space is introduced. Its definition is a transfinite development of some equivalent reformulation of the Baire space definition. It is shown that every strongly Baire space is a Namioka space and every $β-σ$-unfavorable space is a strongly Baire space.
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A notion of strongly Baire space is introduced. Its definition is a transfinite development of some equivalent reformulation of the Baire space definition. It is shown that every strongly Baire space is a Namioka space and every $β-σ$-unfavorable space is a strongly Baire space.
Key concepts: Baire category theorem, Baire space, Baire measure, Mathematics, Transfinite number, Space (punctuation), Complete metric space, Regular space