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Topologies on normed spaces generated by porosity

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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.… Click to show full abstract

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.

Keywords: porosity; spaces generated; normed spaces; generated porosity; topologies normed

Journal Title: Filomat
Year Published: 2019

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