A lattice of conditions on topological spaces II
A theorem on mappings
A uniquely homogeneous space need not be a topological group
Almost every function is independent
Almost-Homeomorphisms And Almost-Topological Properties.
Bijections onto compact spaces
Bimeasurable maps
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
Characterization of Baire-one functions between topological spaces
Compact and extremally disconnected spaces.
Compact covering mappings between Borel ѕpaces
Compactness as -pseudocompactness
Complements of solenoids in are m-spaces
Conditions which ensure that a simple map does not raise dimension
The present paper deals with those continuous maps from compacta into metric spaces which assume each value at most twice. Such maps are called here, after Borsuk and Molski (1958) and as in our previous paper (1990), simple. We investigate the possibility of decomposing a simple map into essential and elementary factors, and the so-called splitting property of simple maps which raise dimension. The aim is to get insight into the structure of those compacta which have the property that simple maps...
Connected CM-homomorphisms into
Continuous Relations.
Dyadic mappings and dyadic superparacompact topological groups.
Ein Analogen des Urysohnschen Fortsetzungssatzes für nichtarchimedische Körper.
Factorization and inverse expansion theorems for uniformities
Functions continuous in the fine topology for the heat equation