On expansiveness of shift homeomorphisms of inverse limits of graphs
On filling an irreducible continuum with chainable continua
On filling an irreducible continuum with one point union of 2-cells
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 finite-dimensional maps and other maps with "small" fibers
We prove that if f is a k-dimensional map on a compact metrizable space X then there exists a σ-compact (k-1)-dimensional subset A of X such that f|X∖A is 1-dimensional. Equivalently, there exists a map g of X in such that dim(f × g)=1. These are extensions of theorems by Toruńczyk and Pasynkov obtained under the additional assumption that f(X) is finite-dimensional. These results are then extended to maps with fibers restricted to some classes of spaces other than the class of k-dimensional...
On finitely equivalent continua.
On finitely Suslinian continua
On fixed point theorems for multifunctions in dendroids
On f.p.p. and f.*p.p. of some not locally connected 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 hereditarily decomposable hereditarily equivalent non-metric continua
On hereditarily indecomposable compacta
On indecomposable subcontinua of surfaces
On internal composants of indecomposable plane continua
On irreducibility and indecomposability of continua
On local 1-connectedness of Whitney continua
On local expansions
On locally connected plane one-to-one continuous images of [0,∞)
On locally homeomorphic images of irreducible continua