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DENSITY, SMITAL PROPERTY AND QUASICONTINUITY

Published online by Cambridge University Press:  04 December 2017

GRAŻYNA HORBACZEWSKA*
Affiliation:
Department of Mathematics and Computer Science, University of Lodz, Banacha 22, 90 238 Lodz, Poland email [email protected]
SEBASTIAN LINDNER
Affiliation:
Department of Mathematics and Computer Science, University of Lodz, Banacha 22, 90 238 Lodz, Poland email [email protected]
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Abstract

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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.

Type
Research Article
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

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