Smooth sets for borel equivalence relations and the covering property for σ-ideals of compact sets
<p>This thesis is divided into three chapters. In the first chapter we study the smooth sets with respect to a Borel equivalence realtion E on a Polish space X. The collection of smooth sets forms σ-ideal. We think of smooth sets as analogs of countable sets and we show that an analog of th...
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https://thesis.library.caltech.edu/8783/2/Uzcategui_c_1990.pdfUzcátegui, Carlos (1990) Smooth sets for borel equivalence relations and the covering property for σ-ideals of compact sets. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/cfsq-aw69. https://resolver.caltech.edu/CaltechTHESIS:03182015-110250011 <https://resolver.caltech.edu/CaltechTHESIS:03182015-110250011>