On Some Generalizations of Porosity and Porouscontinuity
Abstract
In the present paper, we introduce notions of v-porosity and v-porouscontinuity. We investigate some properties of v-poroucontinuity and its connections with porouscontinuity introduced by Borsík and Holos. Moreover, we show that v-porouscontinuous functions may not belong to Baire class one.
Language: English
Page range: 13 - 28
Submitted on: Dec 10, 2015
Published on: Nov 18, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2017 Stanisław Kowalczyk, Małgorzata Turowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.