A weak ergodic theorem for infinite products of Lipschitzian mappings.
A weakening of , with applications to topology
A weakly chainable uniquely arcwise connected continuum without the fixed point property
A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f: X → X has a fixed point. We give a counterexample.
A weakly pseudocompact subspace of Banach space is weakly compact
A Whitehead theorem in CG-shape
A wildly embedded 1-dimensional compact set in each of whose components is tame
A Z-set unknotting theorem for Nöbeling spaces
We prove a Z-set unknotting theorem for Nöbeling spaces.
A -normal Tychonoff space which is not normal
-normality and -normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff -normal non-normal space and an example of a Hausdorff -normal non-regular space.
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
AANR spaces and absolute retracts for tree-like continua
Continua that are approximative absolute neighborhood retracts (AANR’s) are characterized as absolute terminal retracts, i.e., retracts of continua in which they are embedded as terminal subcontinua. This implies that any AANR continuum has a dense arc component, and that any ANR continuum is an absolute terminal retract. It is proved that each absolute retract for any of the classes of: tree-like continua, -dendroids, dendroids, arc-like continua and arc-like -dendroids is an approximative absolute...
AB-compacta
Abelian pro-countable groups and orbit equivalence relations
We study a class of abelian groups that can be defined as Polish pro-countable groups, as non-archimedean groups with a compatible two-sided invariant metric or as quasi-countable groups, i.e., closed subdirect products of countable discrete groups, endowed with the product topology. We show that for every non-locally compact, abelian quasi-countable group G there exists a closed L ≤ G and a closed, non-locally compact K ≤ G/L which is a direct product of discrete countable groups....
Abelian torsion groups with a pseudocompact group topology.
Abgeschwächte Trennungsaxiome
About an example of a Banach space not weaky K-analytic.
About one fixed point theorem.
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 solutions of a functional equation.
About Spectral Funnels of Dynamical Systems Without Uniqueness on the Plane
About the first and the second constellations belonging to the topology