Transfinite cardinal dimension and separability
Tree-likeness of hereditarily equivalent continua
Trees and monotone structures.
Trivial bundles and near-homeomorphisms
Trivial bundles of spaces of probability measures and countable-dimensionality
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.
T-topologies on a lattice ordered group.
In this paper a characterization of the topologies on a l-group arising from a CTRO (T-topologies) is given. We use it to find conditions under which the Redfield topology comes from a CTRO.
Two Examples of Q-topologies
Two examples of Q-topologies.
Two theorems concerning BI-quotient maps
Two-dimension-like functions defined on the class of all Tychonoff spaces.
Two-to-one maps on solenoids and Knaster continua
It is shown that 2-to-1 maps cannot be defined on certain solenoids, in particular on the dyadic solenoid, and on Knaster continua.
Über Peano-Kurven.
Ultrametric spaces bi-Lipschitz embeddable in
It is proved that if an ultrametric space can be bi-Lipschitz embedded in , then its Assouad dimension is less than n. Together with a result of Luukkainen and Movahedi-Lankarani, where the converse was shown, this gives a characterization in terms of Assouad dimension of the ultrametric spaces which are bi-Lipschitz embeddable in .
Ultraparacompactness in certain Pixley-Roy hyperspaces
Ultrasmoothness in dendroids
The class of ultrasmooth dendroids is contained in the class of smooth dendroids and contains the class of locally connected dendroids. In this paper we study relationships between ultrasmoothness and smoothness in dendroids and we characterize ultrasmooth dendroids.
Una extensión transfinita de la dimensión por recubrimientos.
Uncountable ω-limit sets with isolated points
We give two examples of tent maps with uncountable (as it happens, post-critical) ω-limit sets, which have isolated points, with interesting structures. Such ω-limit sets must be of the form C ∪ R, where C is a Cantor set and R is a scattered set. Firstly, it is known that there is a restriction on the topological structure of countable ω-limit sets for finite-to-one maps satisfying at least some weak form of expansivity. We show that this restriction does not hold if the ω-limit set is uncountable....
Une approche non-standard de la dimension d'un espace topologique
Unicoherence in means
Unified spaces and singular sets for mappings of locally compact spaces