Article ID Journal Published Year Pages File Type
4659365 Topology and its Applications 2011 8 Pages PDF
Abstract

We investigate connections between complexity of a function f from a Polish space X to a Polish space Y and complexity of the set , where K(X) denotes the space of all compact subsets of X equipped with the Vietoris topology. We prove that is Borel if and only if f is Borel. Similar results for projective classes are also presented.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology