For every Hausdorff space Y there exists a nontrivial Moore space on which all continuous functions into Y are constant

Harald Brandenburg and Adam Stefan Mysior

Vol. 111 (1984), No. 1, 1–8

DOI: 10.2140/pjm.1984.111.1

Abstract

Recently H. Herrlich has raised the question whether there exists a single Moore space Y such that every Moore space can be embedded into some topological power of Y . We answer this question negatively by proving the theorem stated in the title.

Mathematical Subject Classification 2000

Primary: 54E30

Secondary: 54C25

Milestones

Received: 8 February 1982

Revised: 29 July 1982

Published: 1 March 1984