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A non-topologically generated Hutton-Lowen uniformizable space
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.
Mathematics Subject
Classification (2000): 54A40.
Key words: Hutton uniformizability, Lowen
uniformizability, fuzzy neighborhood space, Hutton normality.
Quaestiones Mathematicae 26(2003), 471–477
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.
Mathematics Subject
Classification (2000): 54A40.
Key words: Hutton uniformizability, Lowen
uniformizability, fuzzy neighborhood space, Hutton normality.
Quaestiones Mathematicae 26(2003), 471–477
