On injective multivalued semiflows
In our note, we prove the result that the Hilbert’s cube equipped with metrics, , cannot be isometrically embedded into .
In this note, we prove that any “bounded” isometries of separable metric spaces can be represented as restrictions of linear isometries of function spaces and , where and denote the Hilbert cube and a Cantor set, respectively.
In this note we study the relation between -spaces and -spaces and prove that a -space with a -hereditarily closure-preserving -network consisting of compact subsets is a -space, and that a -space with a point-countable -network consisting of compact subsets need not be a -space.