Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324-2012

On colorings and isometries

DOI: 10.15673/tmgc.v10i2.649 (eng)

  • Ігор Володимирович Протасов

Abstract | Full Text: In the first section, we prove some isometric versions of the classical Ramsey theorem. In the second section, we discuss open problems on metrically Ramsey ultrafilters. 

Keywords:

  • Isometric coloring
  • isometric Ramsey theorem
  • metrically Ramsey ultrafilters.