Among other results we prove: (1) If f:X→Y is a closed surjection between normal countably compact spaces such that |Fr f-1(y)| <k, then a weak infinite-dimensionality of X implies a weak infinite-dimensionality of Y; (2) If X is a limit of noramalcountably compact strongly infinite-dimensional spaces and closed bonding mappings fabsuch that |Fr f-1ab(xa)|<k, then X is countably compact and strongly infinite-dimensional; (3) Let X = {Xa,fab,A} be an inverse system of infinite-dimensional Cantor-manifolds Xa. If the mappings fab are monotone such that |Fr f-1ab(xa)|<k, then limX is an infinite-dimensional Cantor-manifold
AbstractThere is a relation between Nowak's conjecture for stable cohomotopy dimension and the probl...
AbstractIn this paper we introduce the concept of small-weak-infinite-dimensionality. We show that a...
AbstractLanguages with infinite words have often been studied as subsets of a topological space. The...
Among other results we prove: (1) If f:X→Y is a closed surjection between normal countably compact s...
In this paper we investigate the countable-dimensionality of the inverse limit spaces. Section One c...
AbstractIn this paper we construct a weakly infinite-dimensional compactum which cannot be separated...
Inverse systems, inverse limit spaces, and bonding maps are defined. An investigation of the propert...
summary:In this paper we give a characterization of a separable metrizable space having a metrizable...
summary:In this paper we give a characterization of a separable metrizable space having a metrizable...
summary:The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]...
summary:The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]...
AbstractA Θn,L graph is defined to be a compact, connected, locally connected metric space which is ...
Let X be a limit of an inverse system! = {Xα,Fαβ,A}. _We say that a topological property is continuo...
The main purpose of this paper is the investigation of the continuity of the near-compactification. ...
AbstractFor some classes K of mappings we discuss two problems connected with limits of inverse syst...
AbstractThere is a relation between Nowak's conjecture for stable cohomotopy dimension and the probl...
AbstractIn this paper we introduce the concept of small-weak-infinite-dimensionality. We show that a...
AbstractLanguages with infinite words have often been studied as subsets of a topological space. The...
Among other results we prove: (1) If f:X→Y is a closed surjection between normal countably compact s...
In this paper we investigate the countable-dimensionality of the inverse limit spaces. Section One c...
AbstractIn this paper we construct a weakly infinite-dimensional compactum which cannot be separated...
Inverse systems, inverse limit spaces, and bonding maps are defined. An investigation of the propert...
summary:In this paper we give a characterization of a separable metrizable space having a metrizable...
summary:In this paper we give a characterization of a separable metrizable space having a metrizable...
summary:The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]...
summary:The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]...
AbstractA Θn,L graph is defined to be a compact, connected, locally connected metric space which is ...
Let X be a limit of an inverse system! = {Xα,Fαβ,A}. _We say that a topological property is continuo...
The main purpose of this paper is the investigation of the continuity of the near-compactification. ...
AbstractFor some classes K of mappings we discuss two problems connected with limits of inverse syst...
AbstractThere is a relation between Nowak's conjecture for stable cohomotopy dimension and the probl...
AbstractIn this paper we introduce the concept of small-weak-infinite-dimensionality. We show that a...
AbstractLanguages with infinite words have often been studied as subsets of a topological space. The...