Open AccessA GT generated by a family of maps
Author(s) -
Zand Ahmadi Mohammad,
R. Khayyeri
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2006029a
Subject(s) - mathematics , network topology , bounded function , range (aeronautics) , compact open topology , topology (electrical circuits) , discrete mathematics , combinatorics , pure mathematics , mathematical analysis , functional analysis , computer science , topological tensor product , biochemistry , chemistry , materials science , composite material , gene , operating system
In this paper we define weak and strong generalized topologies. We show that a large range of generalized topological spaces can be characterized by the weak and strong generalized topologies. As a main result, we prove that a GTS is completely ?-regular if and only if ? is the weak GT generated by the family C*?,v(X) of all bounded (?,vR)-continuous functions.