Equi-cliquishness and the Hahn property

In: Tatra Mountains Mathematical Publications, vol. 65, no. 1

Vasyľ Nesterenko

Detaily:

Rok, strany: 2016, 85 - 92

Kľúčové slová:

equi-cliquishness, locally equi-cliquishness, cliquishness, joint continuity, Hahn propetry

O článku:

We study the joint continuity of mappings of two variables. In particular, we show that for a Baire space $X$, a second countable space $Y$ and a metric space $Z$, a map $f\colon X× Y \to Z$ has the Hahn property (i.e., there is a residual subset $A$ of $X$ such that $A× Y\subseteq C(f)$) if and only if $f$ is locally equi-cliquish with respect to $y$ and $\{x\in X\colon f^x \mbox{is continuous}\}$ is a residual subset of $X$.

Ako citovať:

ISO 690:

Nesterenko, V. 2016. Equi-cliquishness and the Hahn property. In Tatra Mountains Mathematical Publications, vol. 65, no.1, pp. 85-92. 1210-3195.

APA:

Nesterenko, V. (2016). Equi-cliquishness and the Hahn property. Tatra Mountains Mathematical Publications, 65(1), 85-92. 1210-3195.