Inaccessibility, essential maps, and shape theory
Injectivity of polyhedra
Intersections of ANR's
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...
Investigating the ANR-property of metric spaces