A Mapping Theorem for Hilbert Cube Manifolds
Copyright policy )A Mapping Theorem for Hilbert Cube Manifolds
We show that every compact connected Hilbert cube manifold M M can be obtained from the Hilbert cube Q Q by making identifications on a face of Q Q . Some applications of this result to measure preserving homeomorphisms on M M are given: (1) The first is concerned with which measures on M M are equivalent to each other by homeomorphisms. (2) The second application is about approximating invertible Borel measurable transformations of M M by measure preserving homeomorphisms of M M . (3) The final application is concerned with generic properties of measure preserving homeomorphisms of M M .
measure preserving homeomorphisms of Hilbert cube manifolds, Topology of infinite-dimensional manifolds, Hilbert cube manifolds as quotients of Hilbert cube, approximating invertible Borel measurable measure preserving transformations by measure preserving homeomorphisms, triangulation theorem for Q-manifolds, Measure-preserving transformations, equivalent measures
measure preserving homeomorphisms of Hilbert cube manifolds, Topology of infinite-dimensional manifolds, Hilbert cube manifolds as quotients of Hilbert cube, approximating invertible Borel measurable measure preserving transformations by measure preserving homeomorphisms, triangulation theorem for Q-manifolds, Measure-preserving transformations, equivalent measures
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!