On infinite words and dimension raising homomorphisms
On interior monotone mappings.
On internal composants of indecomposable plane continua
On irreducibility and indecomposability of continua
On lexicographic products
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
On locally -incomparable families of infinite-dimensional Cantor manifolds
The notion of locally -incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally -incomparable families of different types of finite-dimensional Cantor manifolds.
On maps preserving connectedness and/or compactness
We call a function P-preserving if, for every subspace with property P, its image also has property P. Of course, all continuous maps are both compactness- and connectedness-preserving and the natural question about when the converse of this holds, i.e. under what conditions such a map is continuous, has a long history. Our main result is that any nontrivial product function, i.e. one having at least two nonconstant factors, that has connected domain, range, and is connectedness-preserving...
On Mazurkiewicz sets
A Mazurkiewicz set is a subset of a plane with the property that each straight line intersects in exactly two points. We modify the original construction to obtain a Mazurkiewicz set which does not contain vertices of an equilateral triangle or a square. This answers some questions by L.D. Loveland and S.M. Loveland. We also use similar methods to construct a bounded noncompact, nonconnected generalized Mazurkiewicz set.
On metrizability of continuous images of compact ordered spaces
On monotone mappings of continua
On movability and other similar shape properties
On movable compacta
On Nachbin's problem concerning uniformizable ordered spaces
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.
On order locally finite and closure-preserving covers