Affiliation:
1. Institute of Mathematics Pomeranian University in Słupsk ul . Kozietulskiego 6–7 PL–76-200 Słupsk Poland
Abstract
Abstract
The notion of porouscontinuous function introduced by Borsík and Holos is studied. Relations between porouscontinuous, continuous and ϱ-upper continuous are investigated. Moreover, we show that porouscontinuous functions may not belong to Baire class one.
Reference4 articles.
1. Borsík, J.—Holos, J.: Some properties of porouscontinuous functions, Math. Slovaca 64 (2014), 741–750.
2. Bruckner, A. M.: Differentation of Real Functions. Lecture Notes in Math. 659, Springer-Verlag Berlin Heidelberg New York, 1978.
3. Kowalczyk, S.—Nowakowska, K.: Maximal classes for ϱ-upper continuous functions, J. Appl. Anal. 19 (2013), 69–89.
4. Zajíček, L.: Porosity and σ-porosity, Real Anal. Exchange 13 (1987/88), 314–350.
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On O’Malley Porouscontinuous Functions;Tatra Mountains Mathematical Publications;2021-10-01
2. On continuity in generalized topology;Topology and its Applications;2021-06
3. On points of porouscontinuity;Topology and its Applications;2020-10
4. Methods of comparison of families of real functions in porosity terms;Georgian Mathematical Journal;2019-12-01
5. Compositions of porouscontinuous functions;Mathematica Slovaca;2019-01-22