Talk:Quasi-continuous function

Applications

I was wondering if anyone knew any applications of quasi-continuous functions? i.e. why does anyone care about them?

Only time I have seen it used was in Koliha's "Metrics, Norms and Integrals". He shows that all Quasicontinuous functions from a Real interval to the complex plane are Lebesque integrable. 58.109.86.193 (talk) 06:16, 5 September 2009 (UTC)

It would be worth explaining this in article, but to do so I should go through some references I have on this topic. But as far as I know, one of the motivation for the introduction of this notion was the following: If a function $f:\mathbb {R} \times \mathbb {R} \to \mathbb {R}$ is separately continuous (i.e., if we fix one variable, we get a continuous function in the second variable), it is not continuous in general. But the similar property is true for quasi-continuity. --Kompik (talk) 07:53, 8 October 2011 (UTC)