Displaying similar documents to “On the preservation of Baire and weakly Baire category”

Baire spaces

R. C. Haworth, R. A McCoy

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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................

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.

Projectively Solid Sets and an N-dimensional Piccard's Theorem

Lindgren, W., Szymanski, A. (1998)

Serdica Mathematical Journal

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We discuss functions f : X × Y → Z such that sets of the form f (A × B) have non-empty interiors provided that A and B are non-empty sets of second category and have the Baire property.