Compositions of porouscontinuous functions

Rok, strany: 2019, 199 - 212

The notion of porouscontinuity was introduced by Borsík and Holos. We find classes of functions whose compositions with porouscontinuous functions are still porouscontinuous. Next, we study compositions of porouscontinuous functions with homeomorphisms. We investigate connections between $\mathcal{IC}(\mathcal{A})\cap \mathcal{HOM}$ and $\mathcal{IC}(\mathcal{B})\cap \mathcal{HOM}$ for different classes $\mathcal{A},\mathcal{B}\in \mathcal{PC}$, where $\mathcal{PC}$ is the set of all classes of porouscontinuous functions and $\mathcal{HOM}$ is the set of all homeomorphisms $f\colon\mathbb{R}\to \mathbb{R}$.

ISO 690:

Kowalczyk, S., Turowska, M. 2019. Compositions of porouscontinuous functions. In Mathematica Slovaca, vol. 69, no.1, pp. 199-212. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0214

APA:

Kowalczyk, S., Turowska, M. (2019). Compositions of porouscontinuous functions. Mathematica Slovaca, 69(1), 199-212. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0214