[Settfa] Tuesday 09/05, Adam Bartos

[kubis at math.cas.cz]

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 Tuesday 9th May, 10:00am 
 
  Place: IM (konírna) 

 
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 Speaker:Adam Bartos, IM CAS
 Title: Homogeneous isosceles-free spaces

 Abstract  

 We study homogeneity aspects of isosceles-free metric spaces: spaces where no triple of distinct points forms an isosceles triangle. It turns out that 1-homogeneous isosceles-free spaces are ultrahomogeneous, that they are exactly uniquely 2-homogeneous spaces, and that they can be characterized as linear spaces over Z_2 with an injective norm. The class of all finite isosceles-free spaces is a hereditary class without weak amalgamation property. We also give a partial answer to the question "What is the largest number of distances occuring in a finite 1-homogeneous metric space of size n?" This is joint work with Christian Bargetz, Wies?aw Kubi?, and Franz Luggin.

 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .