On some properties of $\mathcal{J}$-approximately continuous functions

Rok, strany: 2017, 1323 - 1332

In this paper we will consider $\mathcal{J}$-density topology connected with a sequence $\mathcal{J}$ of closed intervals tending to $0$ and a $\mJ$-approximately continuous function associated with that kind of density points. It will be the continuation of the investigations started in ``\textit{$\mathcal{J}$-approximately continuous functions}" by J. Hejduk, A. Loranty and R. Wiertelak published in Tatra Mountains Mathematical Publications. In particular, we will show that topology generated by the sequence $\mathcal{J}$ from the special family $\Im_\alpha$ is always completely regular.

ISO 690:

Hejduk, J., Wiertelak, R. 2017. On some properties of $\mathcal{J}$-approximately continuous functions. In Mathematica Slovaca, vol. 67, no.6, pp. 1323-1332. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0054

APA:

Hejduk, J., Wiertelak, R. (2017). On some properties of $\mathcal{J}$-approximately continuous functions. Mathematica Slovaca, 67(6), 1323-1332. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0054