On two epireflective subcategories of the category of 2 T 0 -fuzzy bitopological spaces

Author: Khastgir Anuruddha S.   Srivastava Arun K.  

Publisher: Taylor & Francis Ltd

ISSN: 1607-3606

Source: Quaestiones Mathematicae, Vol.23, Iss.2, 2000-06, pp. : 163-177

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Abstract

The motivation for the present work is provided by Giuli and Salbany's work on the category BTOP0 of T0?bitopological spaces wherein they identified a cogenerator Q and a closure operator and used these to obtain, among other things, two interesting epireflective subcategories of BTOP0 consisting of objects which they referred to as 'absolutely 2T0-closed' and 'bisober' respectively. Moreover, the first such subcategory was also shown by them to be the epireflective hull of Q in BTOP0. We show here that almost a perfectly analogous programme can be carried out within the category BFTS0 of 2T0-fuzzy bitopological spaces after identifying a key cogenerator in BFTS0.