A symmetrized metric ramsey theorem

Menachem Kojman

doi:10.1007/s11856-009-0093-y

A symmetrized metric ramsey theorem

Menachem Kojman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For every finite metric space A there exists a finite metric space B and a real number r > 0 such that for every coloring of B by two colors there exists a monochromatic A′ ⊆ B such that every isometry between two subsets of A′ extends to a full autoisometry of B and A′ is either isometric to A or is r-homothetic to A.

Original language	English
Pages (from-to)	305-308
Number of pages	4
Journal	Israel Journal of Mathematics
Volume	173
Issue number	1
DOIs	https://doi.org/10.1007/s11856-009-0093-y
State	Published - 1 Jan 2009

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-009-0093-y

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A symmetrized metric ramsey theorem

Abstract

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