Abstract

Nearness spaces were defined for the goal of unifying several types of topological structures by H. Herrlich. The basic motivation of the theory of textures is to find a convenient point set based setting for fuzzy sets. This is the second of three papers which develop various fundamental aspects of the concept of dinearness texture spaces in a categorical setting and present important links with the theory of nearness spaces. Further, it is proved that the category \textbf{Near} of nearness spaces is to isomorphic to the full subcategory of dinearness texture spaces.

Keywords: Nearness space; texture; fuzzy sets; category; product.

MSC: 54E17, 18A05, 03E72, 06D72, 54E15

DOI: 10.57016/MV-ddNG8050

Pages:  1--12