On the smoothness and the totally strong properties for nearness frames

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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
University of Namibia
Abstract
In this paper we briefly explore the properties of smooth and totally strong nearness frames. It turns out that there is a relationship between them, in particular, totally strong nearness frames are smooth. We also show that the category of smooth nearness frames is coproductive, and that, as is the case with that of the totally strong ones, it is closed under completions.
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Keywords
Nearness frame, Interpolative, Almost uniform, Strong, Smooth, Totally strong
Citation
Mugochi, M. M. 2013. On the smoothness and the totally strong properties for nearness frames. International Science and Technology Jounrnal of Namibia 1(1-2):35-46.