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Intrinsic Four-point Properties in Metric Spaces

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Ray Freese, SLU

  • Topology Seminar
When Tue, Apr 18, 2006
from 03:10 PM to 04:00 PM
Where RH 222
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Abstract: Many characterizations of euclidean spaces (real inner product spaces) among metric spaces have been based on euclidean four point embeddability properties. Related “intrinsic” four point properties have also been used to characterize euclidean or hyperbolic spaces among a suitable class of metric spaces. This talk will discuss a new paper that provides a characterization of euclidean or hyperbolic spaces based on intrinsic four point properties which are related to known four point embedding properties.

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