In this paper density-like points and density-like topology connected with a sequence$\mathcal{J} = \{J}_n n \in \mathbb{N}$ of closed intervals tending to $0$ will be considered. We will introduce thenotion of an $\mathcal{J}$-approximately continuous function associated with that kind of densitypoints. Moreover, we will present some properties of these functions and show their connectionwith continuous functions with respect to such density topology.
@article{272,
title = {\mathcal{J}-approximately continuous functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v62i0.272},
language = {EN},
url = {http://dml.mathdoc.fr/item/272}
}
Hejduk, Jacek; Loranty, Anna; Renata Wiertelak, Renata Wiertelak. \mathcal{J}-approximately continuous functions. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v62i0.272. http://gdmltest.u-ga.fr/item/272/