Theory of equidistance and betweenness relations in regular metric spaces
There is no universal totally disconnected space
Three questions of Borsuk concerning movability and fundamental retraction
Three technical tools in uniform spaces
Tilings in topological spaces.
Timan's Formula for the Deviation of Hölder Functions.
Topological completeness of first countable Hausdorff spaces II
Topological completeness of first countable Hausdorff spaces I
Topological contraction principle
Topological convergence and uniform convergence
Topological spaces admitting a unique fractal structure
Each homeomorphism from the n-dimensional Sierpiński gasket into itself is a similarity map with respect to the usual metrization. Moreover, the topology of this space determines a kind of Haar measure and a canonical metric. We study spaces with similar properties. It turns out that in many cases, "fractal structure" is not a metric but a topological phenomenon.
Topological spaces without -accessible diagonal
Topological zero-one laws
Topologies for probabilistic metric spaces
Topologies in atomic quantum logics
Topologies in product which preserve Baire spaces
Total and absolute paracompactness
Totally bounded frame quasi-uniformities
This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity on a frame there is a totally bounded quasi-uniformity on that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines . The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum and the compactification of a uniform frame are meaningful for quasi-uniform frames. If is a totally bounded quasi-uniformity...
Transfinite cardinal dimension and separability
Transfinite metrics, sequences and topological properties