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Showing 1 to 6 of 6 for “"Polish groups"”.
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Dynamics of Polish groups
… that each measure preserving Boolean action by a Polish group of isometries of a locally compact separable metric space has a spatial model or, in other words, has a point realization. This result extends both a classical theorem of Mackey and a recent theorem of Glasner and Weiss, and it covers …
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Topologies and Metrics on Polish Groups
… deals with the problem of the existence of Polishable subspaces of arbitrary high Borel rank in separable Banach spaces.
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Describing generic elements of Polish groups
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-04-12 without embargo terms
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Centralizers in automorphism groups
… investigate centralizers in several automorphism groups of homogenous structures. In the rst chapter, we discuss the centralizer question in ergodic theory, an open question that has served as motivation for much of the work in this dissertation. We also introduce the content of each of the …
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Structures and dynamics
… an obstruction to classi cation by orbits of Polish groups which admit a complete left invariant metric (CLI groups). We apply this criterion to the relation of equality of countable sets of reals and we show that the relations of unitary conjugacy of unitary and selfadjoint operators on the …
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Extending partial isomorphisms
… classes of topological similarity in the groups of automorphisms of some linearly ordered Fraisse classes: the rationals, the linearly ordered random graph and the linearly ordered Urysohn space. The main theorem establishes meagerness of two-dimensional similarity classes in these groups. …