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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.… Click to show full abstract
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 μ-regular if and only if μ is the weak GT generated by the family Cμ,ν(X) of all bounded (μ, νR)-continuous functions.
Keywords:
family maps;
family;
generated family
Journal Title: Filomat
Year Published: 2020
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Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!