The product of a Baire space with a hereditarily Baire metric space is Baire
Warren B. Moors
Abstract
Open-access reader
Warren B. Moors
Abstract
Open-access reader
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.
Key concepts: Baire category theorem, Baire space, Baire measure, Mathematics, Complete metric space, Metrization theorem, Space (punctuation), Product (mathematics)