Add to ORKGAbstract. We consider a number of very strong separation properties for connected spaces. A connected space X is called an Fsω-space provided that each separator between any two points of X contains a finite subset which is also a separator between these two points. If (X, T) is a connected, Hausdorff space in Fsω, then there exists a weaker topology F for X such that (X, F) is embedded in a continuum in Fsω. We give several charac-terizations for the class of Fsω-continua. A connected space is in Dsω if it is in Fsω and if every infinite subset without interior disconnects the space. We prove that if (X, T) is a separable, Hausdorff, Dsω-space then (X, F) is a metrizable, one-dimensional ANR with finitely generated fundamental group. 1
AbstractA separated cell A of a topological space X is a family of pairwise disjoint open sets with ...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
A topological spaces is said to be separably connected if any two points are contained in a connecte...
In curve theory there is a long history of taking some interesting disconnection property and then ...
In curve theory there is a long history of taking some interesting disconnection property and then ...
In curve theory there is a long history of taking some interesting disconnection property and then ...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
AbstractThe development of a general theory for connectednesses and disconnectednesses of topologica...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
Abstract. Let X be a Hausdorff space and let H be one of the hyperspaces CL(X), K(X), F(X) or Fn(X) ...
summary:A space is called connectifiable if it can be densely embedded in a connected Hausdorff spac...
We construct a hereditarily disconnected, complete C-space whose square is strongly infinite-dimensi...
ABSTRACT. We study Hausdorff continua in which every set of certain cardinality contains a subset wh...
AbstractA separated cell A of a topological space X is a family of pairwise disjoint open sets with ...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
A topological spaces is said to be separably connected if any two points are contained in a connecte...
In curve theory there is a long history of taking some interesting disconnection property and then ...
In curve theory there is a long history of taking some interesting disconnection property and then ...
In curve theory there is a long history of taking some interesting disconnection property and then ...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
AbstractThe development of a general theory for connectednesses and disconnectednesses of topologica...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
summary:Let $X$ be a Hausdorff space and let $\mathcal H$ be one of the hyperspaces $CL(X)$, $\mathc...
Abstract. Let X be a Hausdorff space and let H be one of the hyperspaces CL(X), K(X), F(X) or Fn(X) ...
summary:A space is called connectifiable if it can be densely embedded in a connected Hausdorff spac...
We construct a hereditarily disconnected, complete C-space whose square is strongly infinite-dimensi...
ABSTRACT. We study Hausdorff continua in which every set of certain cardinality contains a subset wh...
AbstractA separated cell A of a topological space X is a family of pairwise disjoint open sets with ...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
A topological spaces is said to be separably connected if any two points are contained in a connecte...