Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661351 | Topology and its Applications | 2007 | 12 Pages |
Abstract
The aim of this note is to prove the following result: “Assume that X is a metric Borel space of class ξ, that is continuous, that every fiber f−1(y) is complete and that every countable compact subset of Y is the image by f of some compact subset of X. Then Y is Borel and moreover of class ξ”. We give also an extension to the case where the fibers are only assumed to be Polish.
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