Vol. 111, No. 1, 1984

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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
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
Authors
Harald Brandenburg
Adam Stefan Mysior