On the singularity of Mazurkiewicz in absolute neighborhood retracts
An abstract version of the Lefschetz fixed point theorem is presented. Then several generalizations of the classical Lefschetz fixed point theorem are obtained.
We characterize the AR property in convex subsets of metric linear spaces in terms of certain near-selections.
We consider separable metrizable topological spaces. Among other things we prove that there exists a non-contractible space with the compact extension property and we prove a new version of realization of polytopes for ’s.
We prove that a metric space is an ANR if, and only if, every open subset of X has the homotopy type of a CW-complex.