$ψ$-continuous functions and functions preserving $ψ$-density points

Year, pages: 2009, 175 - 186

Let $\mathcal{T}_ψ$ be the $ψ$-density topology for a fixed function $ψ$. We will examine some new properties of the family of $ψ$-continuous functions (that means continuous functions $f\colon \mathbb{R} \to \mathbb{R} $ with $ψ$-density topology $\mathcal{T}_ψ$ in its domain and range). In the second part of the article we will discuss functions preserving \mbox{$ψ$-density} points.

Filipczak, M., Terepeta, M. 2009. $ψ$-continuous functions and functions preserving $ψ$-density points. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 175-186. 1210-3195.

Filipczak, M., Terepeta, M. (2009). $ψ$-continuous functions and functions preserving $ψ$-density points. Tatra Mountains Mathematical Publications, 42(1), 175-186. 1210-3195.