Uniform spaces based on a way below relation

被引：0
|
作者：
Sayed, O. R. [1 ]
Hammad, O. G. [1 ]
Alcantud, J. C. R. [2 ,3 ]
机构：
[1] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[2] Univ Salamanca, BORDA Res Unit, Salamanca 37008, Spain
[3] Univ Salamanca, Multidisciplinary Inst Enterprise IME, Salamanca 37008, Spain
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 01期
关键词：
Uniform spaces; L-fuzzifying topology; LB-fuzzifying uniform continuity; Way below relation; TOPOLOGICAL-SPACES; FUZZY; PRECOMPACTNESS; COMPLETENESS; COMPACTNESS;
D O I：
10.1007/s40314-022-02117-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper fosters both uniform spaces and way below relations with an innovative analysis of their mutual relationships. A new concept of uniform spaces based on a way below relation (LB-fuzzifying uniform space, or LBFU space, for short) will be introduced and investigated. With this aim, first some fundamental concepts in L-fuzzifying topological spaces will be studied. Then, we shall explore some L-fuzzifying topological spaces induced by an LBFU space. Furthermore, new concepts of interior, closure, bases and subbases relative to an LBFU topology will be established. Finally, the continuity of functions between LBFU spaces will be introduced and investigated.
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页数：22
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