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

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

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.