A survey of various modifications of the notions of absolute retracts and absolute neighborhood retracts
A survey on topological games and their applications in analysis.
In this survey article we shall summarise some of the recent progress that has occurred in the study of topological games as well as their applications to abstract analysis. The topics given here do not necessarily represent the most important problems from the area of topological games, but rather, they represent a selection of problems that are of interest to the authors.
A suspension theorem for the proper homotopy and strong shape theories
A technique for constructing examples
A theorem of Borsuk-Ulam type for multifunctions
A theorem of Meir-Keeler type revisited.
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues
A Theorem of the Closed Graph Type.
A theorem of the Hahn-Banach type and its applications
Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
A theorem on coincidence point for a family of mappings.
A theorem on common fixed points of expansion type mappings in cone metric spaces.
A Theorem On Contraction Mappings
A theorem on contraction mappings.
A theorem on contractive mappings
A theorem on expansions into inverse systems of metric spaces
A theorem on mappings
A Theorem On Spaces 2X With The Compact-Open Topology
A theorem on spaces 2x with the compact-open topology.
A theorem on the common fixed point in locally convex spaces