Topologies on normed spaces generated by porosity | Zendy

Stanisław Kowalczyk | Zendy; Małgorzata Turowska | Zendy

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Topologies on normed spaces generated by porosity

Author(s) -

Stanisław Kowalczyk,

Małgorzata Turowska

Publication year - 2019

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/fil1901335k

Subject(s) - mathematics , network topology , multiplicative function , discrete mathematics , pure mathematics , mathematical analysis , computer science , operating system

In the present paper we study properties of porouscontinuous functions defined by J. Borsı́k and J. Holos in 2014. We find maximal additive classes for different families of these functions. Furthermore, we define new families of topologies generated by the notion of porosity, which are used to study maximal multiplicative classes for porouscontinuous functions. Some relevant properties of defined topologies are considered.

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