Some weak indivisibility results in ultrahomogeneous metric spaces

Details Some weak indivisibility results in ultrahomogeneous metric spaces Some weak indivisibility results in ultrahomogeneous metric spaces

2008-11-25

arxiv.org/abs/0811.4156v1

Mathematics

Metric Geometry

12 pages

Scientific paper

We study the validity of a partition property known as weak indivisibility
for the integer and the rational Urysohn metric spaces. We also compare weak
indivisiblity to another partition property, called age-indivisibility, and
provide an example of a countable ultrahomogeneous metric space which is
age-indivisible but not weakly indivisible.

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