J. Ka̧kol

activity

20142022

most citedJosefson-Nissenzweig property for

C_{p}

-spaces

21 citations · 77 across the 14 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GN2016

The Ascoli property for function spaces

Saak Gabriyelyan, Jan Grebík, Jerzy Kakol +1

The paper deals with Ascoli spaces $C_{p} (X)$ and $C_{k} (X)$ over Tychonoff spaces $X$ . The class of Ascoli spaces $X$ , i.e. spaces $X$ for which any compact subset $K$ of $C_{k} (X)$ is…

math.GN2016

Topological properties of function spaces over ordinals

Saak Gabriyelyan, Jan Grebik, Jerzy Kakol +1

A topological space $X$ is said to be an Ascoli space if any compact subset $K$ of $C_{k} (X)$ is evenly continuous. This definition is motivated by the classical Ascoli theorem. We s…

math.FA2016

Free locally convex spaces with a small base

Saak Gabriyelyan, Jerzy Kakol

The paper studies the free locally convex space $L (X)$ over a Tychonoff space $X$ . Since for infinite $X$ the space $L (X)$ is never metrizable (even not Fréchet-Urysohn), a possibl…