3 papers
math.GN2017
On uniformly continuous maps between function spaces
Rafal Gorak, Mikolaj Krupski, Witold Marciszewski
In this paper we develop a technique of constructing uni- formly continuous maps between function spaces Cp(X) endowed with the pointwise topology. We prove that if a space X is co…
math.FA2015
On the weak and pointwise topologies in function spaces
Mikołaj Krupski
For a compact space we denote by () the space of continuous real-valued functions on endowed with the weak (pointwise) topology. In this paper we address t…
math.FA2011
A dichotomy for the convex spaces of probability measures
Mikołaj Krupski, Grzegorz Plebanek
We show that every nonempty compact and convex space M of probability Radon measures either contains a measure which has `small' local character in M or else M contains a measure o…