Representation theory, Borel cross-sections, and minimal measures

Let E be an analytic metric space, let X be a separable metric space with a regular Borel probability measure μ and let Π: E → X be a continuous map with μ(X \ Π(E)) =0. Schwartz’s lemma states that there exists a Borel cross-section for Π defined almost everywhere (μ). The equivalence classes of th...

Full description

Bibliographic Details
Main Author: Miller, Janice E.
Other Authors: Mathematics
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/38643
http://scholar.lib.vt.edu/theses/available/etd-06192006-125737/