Some weak indivisibility results in ultrahomogeneous metric spaces

L. Nguyen Van Thé; N. W. Sauer

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arXiv · 0811.4156

Some weak indivisibility results in ultrahomogeneous metric spaces

L. Nguyen Van Thé·N. W. Sauer

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Abstract

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 may be age-indivisible but not weakly indivisible.

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BibTeX RIS

L. Nguyen Van Thé, N. W. Sauer. 2014-01-06. Some weak indivisibility results in ultrahomogeneous metric spaces. https://arxiv.org/abs/0811.4156

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