Tatra Mountains Mathematical Publications
Special Issue: Real Functions ’16, Real Functions, Density Topologies, Porosity
About this article
Published Online: Nov 18, 2017
Page range: 13 - 28
Received: Dec 10, 2015
DOI: https://doi.org/10.1515/tmmp-2017-0002
Keywords
© 2017 Stanisław Kowalczyk et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.