| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660045 | Topology and its Applications | 2008 | 5 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 if C(f) is analytic, then f is Borel; and assuming -determinacy we show that f is Borel if and only if C(f) is coanalytic. Similar results for projective classes are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
