Topologies generated by porosity and maximal additive and multiplicative families for porouscontinuous functions
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.02.010
Abstract: Abstract L. Zajicek in 1986 and V. Kelar in 1990 defined topologies p and s generated by the notions of porosity and strong porosity. Applying these notions, we described maximal additive classes for porouscontinuous functions… read more here.
Keywords: porosity; topologies generated; porouscontinuous functions; maximal additive ... See more keywords
Topologies on normed spaces generated by porosity
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DOI: 10.2298/fil1901335k
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… read more here.
Keywords: porosity; spaces generated; normed spaces; generated porosity ... See more keywords