Original Articles

A Non-topologically Generated Hutton-lowen Uniformizable Space

Published in: Quaestiones Mathematicae
Volume 26 , issue 4 , 2003 , pages: 471–477

DOI: 10.2989/16073600309486076

Author(s): Sanjiang Li , Dexue Zhang

Keywords: HUTTON UNIFORMIZABILITY , LOWEN UNIFORMIZABILITY , FUZZY NEIGHBORHOOD SPACE , HUTTON NORMALITY

Abstract

In this note, it is shown that there exist non-topologically generated spaces which are both Lowen uniformizable and Hutton uniformizable. On the other hand, the FNS-coreflection of the Hutton unit interval I(I) is neither Lowen uniformizable nor Hutton uniformizable.

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