Amenability, Countable Equivalence Relations, and Their Full Groups
<p>This thesis consists of an introduction and four independent chapters.</p> <p> In Chapter 1, we study homeomorphism groups of metrizable compactifications of the natural numbers. Those groups can be represented as almost zero-dimensional Polishable subgroups of the group <...
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https://thesis.library.caltech.edu/1584/1/thesis-final.pdfTsankov, Todor Dimitrov (2008) Amenability, Countable Equivalence Relations, and Their Full Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/N91C-HV48. https://resolver.caltech.edu/CaltechETD:etd-05022008-113702 <https://resolver.caltech.edu/CaltechETD:etd-05022008-113702>