Topological games and products, II
Topological properties of spaces ordered by preferences.
Topological representations of quasiordered sets.
Topological spaces with a linear basis
Topological spaces without -accessible diagonal
Topological type of weakly closed subgroups in Banach spaces
The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in which are interesting from the Banach space theory point of view are discussed.
Topologies compatible with order and separation axioms
Topologies compatible with ordering
Topologies defined by some invariant pseudodistances
Topologies generated by closed intervals.
Topologies of Chains.
Topologies sur des espaces ordonnés
Topology and axioms of interpolation in partially ordered spaces.
Topology and measure of buried points in Julia sets
It is well-known that the set of buried points of a Julia set of a rational function (also called the residual Julia set) is topologically “fat” in the sense that it is a dense if it is non-empty. We show that it is, in many cases, a full-measure subset of the Julia set with respect to conformal measure and the measure of maximal entropy. We also address Hausdorff dimension of buried points in the same cases, and discuss connectivity and topological dimension of the set of buried points. Finally,...
Topology on ordered fields
An ordered field is a field which has a linear order and the order topology by this order. For a subfield of an ordered field, we give characterizations for to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on .
Toroidal decompositions of and a family of 3-dimensional ANR’s (AR’s)
Transfinite cardinal dimension and separability
Tree-likeness of hereditarily equivalent continua
Trees and monotone structures.
Trivial bundles and near-homeomorphisms