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Showing 1 to 4 of 4 for “"polish space"”.
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Orbit discontinuities and topological models for Borel semiflows
Let $T_t$ be a Borel semiflow on a standard Polish space $X$. We say two distinct points $x$ and $y$ are ``instantaneously discontinuously identified'' (IDI) by the semiflow if $T_t(x) = T_t(y)$ for all $t > 0$. We define the concept of ``orbit discontinuity'', a generalization of IDI, and examine …
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Two-step coding theorem in the nearly continuous category
… A nearly continuous Z-system consists of a Polish space X with a non-atomic Borel probability measure μ and an ergodic measure-preserving homeomorphism T on X . Let ƒ : X → R be a positive, nearly continuous function bounded away from 0 and ∞. This gives rise to a flow built over T under the …
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Centralizers in automorphism groups
… n-th powers in the group of isometries of Baire space. We prove that for n > 1, this set is not Borel. In the third chapter, we investigate topological similarity, an equivalence re- lation on a Polish group introduced by Rosendal in [15]. We prove some results for topological similarity in …
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Topological uniqueness results for the special linear and other classical Lie Algebras.
… field, etc.). L is topologically unique if the Polish topology on L is uniquely determined by its underlying algebraic structure. More specifically, L is topologically unique if an algebraic isomorphism of L with any other complete separable metric topological group (ring, field, etc.) induces a …