On classification of weakly infinite-dimensional compacta
On closed mappings
On compact Hausdorff spaces having finitely many types of open subsets
On compact one-to-one continuous images of the real line
On compact spaces which are locally Cantor bundles
On compactifications with continua as remainders
On composants of Hausdorff continua
On composants of solenoids.
On composants of solenoids
It is proved that any two composants of any two solenoids are homeomorphic.
On composants of the bucket handle
On confluently graph-like compacta
For any class 𝒦 of compacta and any compactum X we say that: (a) X is confluently 𝒦-representable if X is homeomorphic to the inverse limit of an inverse sequence of members of 𝒦 with confluent bonding mappings, and (b) X is confluently 𝒦-like provided that X admits, for every ε >0, a confluent ε-mapping onto a member of 𝒦. The symbol 𝕃ℂ stands for the class of all locally connected compacta. It is proved in this paper that for each compactum X and each family 𝒦 of graphs, X is confluently...
On continua having three types of open subsets
On continua which resemble simple closed curves
On contractible dendroids
On contractible fans
On convex metric spaces II
On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets is connected.
On countable dense and strong n-homogeneity
We prove that if a space X is countable dense homogeneous and no set of size n-1 separates it, then X is strongly n-homogeneous. Our main result is the construction of an example of a Polish space X that is strongly n-homogeneous for every n, but not countable dense homogeneous.
On -property of strong spaces
It is shown that every strong space is a -space. In particular, it follows that every paracompact space is a -space.
On decomposition of projections of finite order