A new approach to $ψ$-continuity

Rok, strany: 2009, 107 - 117

Let $\mathcal{T}_ψ$ be a $ψ$-density topology for a fixed function $ψ$. For any topological space $X$ with the topology $τ$ we will consider the family $C(X,\mathbb{R}_ψ)$ of all continuous functions $f$ from $(X,τ)$ into $(\mathbb{R}, \mathcal{T}_ψ) $. The main aim of this paper is to investigate when $C(X,\mathbb{R}_ψ)$ is a ring. This article is based on the results achieved by M. Knox [\textit{A characterization of rings of density continuous functions}, Real Anal. Exchange \textbf{31} (2005), 165–177].

ISO 690:

Terepeta, M. 2009. A new approach to $ψ$-continuity. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 107-117. 1210-3195.

APA:

Terepeta, M. (2009). A new approach to $ψ$-continuity. Tatra Mountains Mathematical Publications, 42(1), 107-117. 1210-3195.