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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… Click to show full 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 S 0 , M 1 and P 0 defined by J. Borsik and J. Holos in 2014. Furthermore, we defined new family of topologies generated by porosity and strong porosity, which are used to studying maximal multiplicative classes for porouscontinuous functions S 0 and M 1 . Some other properties of superporosity and strong superporosity are considered.
Journal Title: Topology and its Applications
Year Published: 2018
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