A combinatorial proof of the extension property for partial isometries

Abstract

We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.

7 pages, 1 figure. Minor revision. Accepted to Commentationes Mathematicae Universitatis Carolinae

References in corpus (3)

• All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms)
• Amalgamation and Symmetry: From Local to Global Consistency in The Finite
• Conant's generalised metric spaces are Ramsey

Cited by in corpus (7)

• Ramsey expansions of metrically homogeneous graphs
• EPPA for two-graphs and antipodal metric spaces
• Extending partial isometries of antipodal graphs
• Dense locally finite subgroups of Automorphism Groups of Ultraextensive Spaces
• Forbidden cycles in metrically homogeneous graphs
• EPPA numbers of graphs
• On Extensions of Partial Isomorphisms