A subset of metric preserving functions.
A sufficient condition of full normality
We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.
A Surjectivity Result For Nonlinear Mappings On Uniform Spaces And Applications.
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 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 the Extension of Measures in Uniform Spaces
A theory of absolute proper retracts
A theory of proper shape for locally compact metric spaces
A uniform structure for topological spaces
A uniquely homogeneous space need not be a topological group
A universal metacompact developable -space of weight m
A universal separable metric locally finite-dimensional space
A weak ergodic theorem for infinite products of Lipschitzian mappings.
About remainders in compactifications of homogeneous spaces
We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space , every remainder of is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.
About -covers and -networks on the Vietoris hyperspace
We study some generalized metric properties on the hyperspace of finite subsets of a space endowed with the Vietoris topology. We prove that has a point-star network consisting of (countable) -covers if and only if so does . Moreover, has a sequence of -covers with property which is a point-star network if and only if so does , where is one of the following properties: point-finite, point-countable, compact-finite, compact-countable, locally finite, locally countable. On the other...
Absolute fixed point sets and AR-spaces
Absolute fixed-point sets in compacta