Displaying similar documents to “Continuity of semi-norms on topological vector spaces”

On sets with Baire property in topological spaces

S. Basu (2000)

Czechoslovak Mathematical Journal

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Steinhaus [9] prove that if a set A has a positive Lebesgue measure in the line then its distance set contains an interval. He obtained even stronger forms of this result in [9], which are concerned with mutual distances between points in an infinite sequence of sets. Similar theorems in the case we replace distance by mutual ratio were established by Bose-Majumdar [1]. In the present paper, we endeavour to obtain some results related to sets with Baire property in locally compact topological...

Besicovitch via Baire

T. W. Körner (2003)

Studia Mathematica

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We construct various Besicovitch sets using Baire category arguments.

Preimages of Baire spaces

Jozef Doboš, Zbigniew Piotrowski, Ivan L. Reilly (1994)

Mathematica Bohemica

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A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.