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 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:  283--294     

Volume  77 ,  Issue  4 ,  2025