2006•Proceedings of the American Mathematical SocietyOpen access

The product of a Baire space with a hereditarily Baire metric space is Baire

Warren B. Moors

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Abstract

In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and R. Pol.

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In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and R. Pol.

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Available abstract

In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and R. Pol.

Key concepts: Baire category theorem, Baire space, Baire measure, Mathematics, Complete metric space, Metrization theorem, Space (punctuation), Product (mathematics)

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