Original Articles

On the semi-uniformity of bornological convergence

Published in: Quaestiones Mathematicae
Volume 38 , issue 2 , 2015 , pages: 285–296

DOI: 10.2989/16073606.2014.981725

Author(s): Tom Vroegrijk , Belgium

Keywords: 54A05 , 54E35 , 54E99 , 54A05 , 54E35 , 54E99

Abstract

When in the construction of the ρ-Hausdorff distance the balls with finite radius are replaced with an arbitrary ideal of bounded sets we no longer obtain a uniformity, but a semi-uniformity. In this paper we study the uniform reflection of this structure and its properties.

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