Mathematics – Metric Geometry
Scientific paper
2007-02-15
Mathematics
Metric Geometry
21 pages
Scientific paper
A metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisible metric spaces, we show that a countable ultrametric space embeds isometrically into an indivisible ultrametric metric space if and only if it does not contain a strictly increasing sequence of balls.
Delhomme Christian
Laflamme Claude
Pouzet Maurice
Sauer Norbert
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