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...
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Format: | Others |
Language: | en |
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Virginia Tech
2014
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Online Access: | http://hdl.handle.net/10919/38643 http://scholar.lib.vt.edu/theses/available/etd-06192006-125737/ |