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
Absolute retracts as factors of normed linear spaces
Alexandroff spaces.
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
We present new structures and results on the set of mean functions on a given symmetric domain in ℝ². First, we construct on a structure of abelian group in which the neutral element is the arithmetic mean; then we study some symmetries in that group. Next, we construct on a structure of metric space under which is the closed ball with center the arithmetic mean and radius 1/2. We show in particular that the geometric and harmonic means lie on the boundary of . Finally, we give two theorems...
Algebras of real-valued uniform maps
Algunos espacios topológicos que admiten una medida-categoría.
Almost convex metrics and Peano compactifications.
Almost every function is independent
Almost locatedness in uniform spaces
A weak form of the constructively important notion of locatedness is lifted from the context of a metric space to that of a uniform space. Certain fundamental results about almost located and totally bounded sets are then proved.
Alternative definitions of -density topology
Always of the first category sets
Always of the first category sets (II)
Ambiguous Loci of the Metric Projection Onto Compact Starshaped Sets in a Banach Space.
An analogue of a result of Carathéodory
An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem
An Ascoli theorem for sequential spaces.