Article ID Journal Published Year Pages File Type
4661351 Topology and its Applications 2007 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology