Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659365 | Topology and its Applications | 2011 | 8 Pages |
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