Open AccessCompact and extremally disconnected spaces via generalized continuous functions
Author(s) -
Zeinab Bandpey,
Bhamini M. P. Nayar
Publication year - 2019
Publication title -
journal of advanced studies in topology
Language(s) - English
Resource type - Journals
eISSN - 2090-8288
pISSN - 2090-388X
DOI - 10.20454/jast.2019.1507
Subject(s) - mathematics , compact space , class (philosophy) , continuous function (set theory) , space (punctuation) , topological space , pure mathematics , totally disconnected space , set (abstract data type) , locally compact space , compact open topology , discrete mathematics , function (biology) , functional analysis , interpolation space , artificial intelligence , computer science , biochemistry , chemistry , evolutionary biology , gene , biology , programming language , operating system
In [12], the class of compact and extremally dinconnected spaces were studied using several investigative tools such as filters, graphs, functions, multifuctions and subsets of the space. These different approaches of investigation produced significant charecterizations and properties of this important class of spaces. In [3] we introduced three forms of generalized continuous functions by studying the class of u-continuous functions of Joseph, Kwack and Nayar [9] using the concepts of an α-set of Njastad [13]. The generalized continuous forms introduced there are: αu-continuous, semi-αu-contnuous and strongly u-continuous functions. In the present study we investigate the class of compact and extremally disconnected spaces using these generalized continuous functions.