C-separated sets and unicoherence
Intersections of separators and essential submanifolds of
The space of ANR’s in
The hyperspaces and in consisting respectively of all compact absolute neighborhood retracts and all compact absolute retracts are studied. It is shown that both have the Borel type of absolute -spaces and that, indeed, they are not -spaces. The main result is that is an absorber for the class of all absolute -spaces and is therefore homeomorphic to the standard model space of this class.
Some m-dimensional compacta admitting a dense set of imbeddings into
Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
Cell-like maps, dimension and cohomological dimension: a survey
Semigroups and clusters of indecomposability
Inverse Sequences and Absolute Co-Extensors
Suppose that K is a CW-complex, X is an inverse sequence of stratifiable spaces, and X = limX. Using the concept of semi-sequence, we provide a necessary and sufficient condition for X to be an absolute co-extensor for K in terms of the inverse sequence X and without recourse to any specific properties of its limit. To say that X is an absolute co-extensor for K is the same as saying that K is an absolute extensor for X, i.e., that each map f:A → K from a closed subset A of X extends to a map F:X...
Page 1