Vol. 24, No. 2, 1968

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A note on partially ordered compacta

James Harvey Carruth

Vol. 24 (1968), No. 2, 229–231
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
Authors
James Harvey Carruth