2006Tuwhera (Auckland University of Technology)Open access

When is a Volettera space Baire

Jun Cao, Hjk Junnila

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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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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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Available 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.

Key concepts: Baire space, Baire measure, Baire category theorem, Space (punctuation), Mathematics, Computer science, Pure mathematics, Operating system

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