Displaying similar documents to “Expansions of subfields of the real field by a discrete set”

Definably complete Baire structures

Antongiulio Fornasiero, Tamara Servi (2010)

Fundamenta Mathematicae

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We consider definably complete Baire expansions of ordered fields: every definable subset of the domain of the structure has a supremum and the domain cannot be written as the union of a definable increasing family of nowhere dense sets. Every expansion of the real field is definably complete and Baire, and so is every o-minimal expansion of a field. Moreover, unlike the o-minimal case, the structures considered form an axiomatizable class. In this context we prove a version of the Kuratowski-Ulam...

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.