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NEW EXAMPLES OF TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS WITH DIFFERENT METRIC PROPERTIES
TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS DIFFERENT METRIC PROPERTIES
2015/9/25
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
This is a survey on nondiscrete euclidean buildings, with a focus on metric properties of these spaces.
Beta Spaces: New Generalizations of Typically-Metric Properties
Beta Spaces Typically-Metric Properties
2010/11/23
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-metric properties. The...