Аннотации:
The space h (X, k) is the smallest h-homogeneous space of first category and of weight k that contains a space X as a closed subset. We prove that if Y is a metric space of first category such that every nonempty open subset of Y contains a closed copy of X and has weight ≥ k, then Y contains a closed copy of h (X, k). This allows us to give an internal characterization of h (X, k). We also establish some relations between homogeneous and h-homogeneous spaces. © 2012 Elsevier B.V.
