DENSITY, SMITAL PROPERTY AND QUASICONTINUITY-Reference-Cited by-同舟云学术

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DENSITY, SMITAL PROPERTY AND QUASICONTINUITY

Published:2017-12-04 Issue:2 Volume:97 Page:246-252
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

HORBACZEWSKA GRAŻYNA^ORCID,LINDNER SEBASTIAN

Abstract

Based on the abstract version of the Smital property, we introduce an operator

$DS$

. We use it to characterise the class of semitopological abelian groups, for which addition is a quasicontinuous operation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. Marczewski–Burstin representations vs. Bernstein and dense subsets;Nowik;Demonstratio Math.,2016

2. Structure resolvability;Jiménez;Comment. Math. Univ. Carolin.,1998

3. [3] M. Filipczak , T. Filipczak and R. Knapik , ‘On Steinhaus and Smital properties for sets’, in preparation.

4. RESOLVABILITY OF MEASURABLE SPACES

5. On Smital properties

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