On Semi-Continuous and Clisquish Functions in Generalized Topological Spaces

被引：3

作者：

Aponte, Elvis ^{[1
]}

Subramanian, Vadakasi ^{[2
]}

Macias, Jhixon ^{[1
]}

Krishnan, Muthumari ^{[2
]}

机构：

[1] Escuela Super Politecn Litoral ESPOL, Fac Ciencias Nat & Matemat, Dept Matemat, Campus Gustavo Galindo,Km 30-5 Via Perimetral, EC-090112 Guayaquil, Ecuador

[2] AKD Dharma Raja Womens Coll, Dept Math, Rajapalayam 626117, Tamil Nadu, India

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

Baire space; nowhere dense; lower semi-continuous function; upper semi-continuous function; cliquish function;

D O I：

10.3390/axioms12020130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will focus on three types of functions in a generalized topological space, namely; lower and upper semi-continuous functions, and cliquish functions. We give some results for nowhere dense sets and for second category sets. Further, we discuss the nature of cliquish functions in generalized metric spaces and provide the characterization theorem for cliquish functions in terms of nowhere dense sets.

引用

页数：19

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