Abstract
We say that a subset S of a topological space X is M-embedded ( M N 0 -embedded) in X if every map from S to a (separable) metrizable AE can be extended over X. Characterizations of M-and M N O -embedding are given and we prove that S is M-embedded ( M N O -embedded) in X iff( X,S) has the Homotopy Extension Property with respect to every (seperable) ANR space.
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