Another characterization of AE(0)-spaces

Vesko M. Valov

Vol. 127 (1987), No. 1, 199–208

DOI: 10.2140/pjm.1987.127.199

Abstract

We prove that a space X is an absolute extensor for the class of all zero-dimensional spaces if and only if X is an upper semi-continuous compact-valued retract of a power of the real line.

Mathematical Subject Classification 2000

Primary: 54C55

Secondary: 54C08, 54C45, 54C60

Milestones

Received: 13 August 1985

Revised: 16 April 1986

Published: 1 March 1987