A GT generated by a family of maps | Zendy

Zand Ahmadi | Zendy; R. Khayyeri | Zendy

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A GT generated by a family of maps

Author(s) -

Zand Ahmadi,

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.

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