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 decompositions of continua
On decompositions of Hausdorff continua [Book]
On decompositions of hereditarily smooth continua
On decompositions of hereditarily unicoherent continua
On decompositions of smooth continua
On decompositions of λ-dendroids
On dendroids and their end-points and ramification points in the classical sense
On dendroids and their ramification points in the classical sense
On Dimensionsgrad, resolutions, and chainable continua
For each natural number n ≥ 1 and each pair of ordinals α,β with n ≤ α ≤ β ≤ ω(⁺), where ω(⁺) is the first ordinal of cardinality ⁺, we construct a continuum such that (a) ; (b) ; (c) ; (d) if β < ω(⁺), then is separable and first countable; (e) if n = 1, then can be made chainable or hereditarily decomposable; (f) if α = β < ω(⁺), then can be made hereditarily indecomposable; (g) if n = 1 and α = β < ω(⁺), then can be made chainable and hereditarily indecomposable. In particular,...
On embeddability of cones in euclidean spaces