On structural properties of porouscontinuous functions
-
Stanisław Kowalczyk
and
Małgorzata Turowska
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.
References
[1] Borsík, J.—Holos, J.: Some properties of porouscontinuous functions, Math. Slovaca 64 (2014), 741–750.10.2478/s12175-014-0237-3Search in Google Scholar
[2] Bruckner, A. M.: Differentation of Real Functions. Lecture Notes in Math. 659, Springer-Verlag Berlin Heidelberg New York, 1978.Search in Google Scholar
[3] Kowalczyk, S.—Nowakowska, K.: Maximal classes for ϱ-upper continuous functions, J. Appl. Anal. 19 (2013), 69–89.10.1515/jaa-2013-0005Search in Google Scholar
[4] Zajíček, L.: Porosity and σ-porosity, Real Anal. Exchange 13 (1987/88), 314–350.10.2307/44151885Search in Google Scholar
© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Cyclic and rotational latin hybrid triple systems
- Notes on mildly distributive semilattices
- On generalized completely distributive posets
- Properties of non-associative MV-algebras
- On the upper and lower exponential density functions
- Quadratic permutations, complete mappings and mutually orthogonal latin squares
- On F-groups with the central factor of order p4
- Comparison of some families of real functions in porosity terms
- Negative interest rates: why and how?
- Homoclinic and heteroclinic motions in hybrid systems with impacts
- Some fixed point theorems in Branciari metric spaces
- S-essential spectra and measure of noncompactness
- Unified approach to graphs and metric spaces
- On structural properties of porouscontinuous functions
- A class of topological spaces between the classes of regular and urysohn spaces
- On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
- Generalized Baskakov type operators
