On some generalizations of porosity and porouscontinuity

Abstract

In the present paper we introduce notions of $v$-porosity and $v$-porouscontinuity.
We investigate some properties of $v$-poroucontinuity and its connections
with porouscontinuity introduced by Borsík and Holos. Moreover, we show
that $v$-porouscontinuous functions may not belong to Baire class 1.