On a family of dendrites.
On a simply connected 1-dimensional continuum without the fixed point property
On chaotic curves
On continua which resemble simple closed curves
On contractible dendroids
On decompositions of continua
On dendroids and their end-points and ramification points in the classical sense
On dendroids and their ramification points in the classical sense
On embedding curves in surfaces
On embedding curves in two-dimensional polyhedra
On expansiveness of shift homeomorphisms of inverse limits of graphs
On extending homeomorphisms on zero-dimensional spaces
On filling an irreducible continuum with the Cartesian product of an arc with a simple triod
On filling an irreducible continuum with the Cartesian product of 1-dimensional continua
On generalized homogeneity of locally connected plane continua
The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.
On indecomposability and composants of chaotic continua
A homeomorphism f:X → X of a compactum X with metric d is expansive if there is c > 0 such that if x,y ∈ X and x ≠ y, then there is an integer n ∈ ℤ such that . A homeomorphism f: X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ ℤ such that . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua of homeomorphisms...
On interior monotone mappings.
On locally connected plane one-to-one continuous images of [0,∞)
On non-separable 0-dimensional metrizable spaces
On open light mappings
Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.