T-proximity compatible with T-neighbourhood structure

In this paper, we show that every T-neighbourhood space induces a T-proximity space, where T stands for any continuous triangular norm. An axiom of T-completely regular of T-neighbourhood spaces introduced by Hashem and Morsi (2003) [3], guided by that axiom we supply a Sierpinski object for categor...

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Bibliographic Details
Main Author: Khaled A. Hashem
Format: Article
Language:English
Published: SpringerOpen 2012-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000193