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When is a Volettera space Baire?

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Conference Contribution

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University of Patras

Abstract

In this talk, we study the problem when a Volterra space is Baire. It is shown that every stratifiable Volterra space is Baire. This answers affirmatively a question of Gruenhage and Lutzer in 2000. Further, it is established that a locally convex topological vector space if and nolt if it is Baire; and a topological vector space in its weak topology fails to be Baire if its dual contains an infinitely linearly independent pointwise bounded subset.

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International Conference on Topology and its Applications, Aegion, Greece, June 23-26, 2006

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NOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in (see Citation). The original publication is available at (see Publisher's Version)