A note on partially ordered compacta

James Harvey Carruth

Vol. 24 (1968), No. 2, 229–231

DOI: 10.2140/pjm.1968.24.229

Abstract

In this note it is shown that each compact metric space endowed with a closed partial order admits an equivalent radially convex metric. It is also shown that certain functions from subsets of a partially ordered compactum into the Hilbert Cube are extendable to order preserving homeomorphisms on the whole space.

Mathematical Subject Classification

Primary: 54.56

Milestones

Received: 6 February 1967

Revised: 10 May 1967

Published: 1 February 1968