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We demonstrate a construction that will densely embed a Moore space into a Moore space with the Baire property when this is possible. We also show how this technique generates a new ‘if and only if’ condition for determining when Moore spaces can be densely embedded in Moore spaces with the Baire property, and briefly discuss how this condition can can be used to generate new proofs that certain Moore spaces cannot be densely embedded in Moore spaces with the Baire property. [ABSTRACT FROM AUTHOR]

We demonstrate methods of constructing a Moore space in which a given metric space is densely embedded, and also investigate properties which will result in superspaces for such metric spaces which are Moore spaces with the Baire property and thereby describe properties of some spaces into which metric spaces can be densely embedded. [ABSTRACT FROM AUTHOR]