Add to ORKGAbstract. We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice ” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology is rather strong, but we show that it is difficult to construct spaces which would contain no infinite subspaces with a weaker connected T
We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn. We a...
AbstractWe present some answers to the title. For example, if K is compact, zero-dimensional and D i...
Let (X,T) be a topological space. An extension of T is a topology T ' for X such that T ' ...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topol...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
Abstract. We prove that a disconnected Hausdorff space X with a count-able network has a weaker conn...
Abstract. We prove that, if X is a Tychonoff connected space and X(x, X)::;; OJ for some x E X, then...
summary:A non-connected, Hausdorff space with a countable network has a connected Hausdorff-subtopol...
The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff...
We introduce the concept of a topological J-group and determine for many important examples of topol...
In our paper [O] the proof of Theorem 2.7 is not correct. In that proof we constructed a space X 7 ...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
To the memory of our friend Klaus ABSTRACT. In every space for which there exists a strictly finer t...
We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn. We a...
AbstractWe present some answers to the title. For example, if K is compact, zero-dimensional and D i...
Let (X,T) be a topological space. An extension of T is a topology T ' for X such that T ' ...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
summary:We study when a topological space has a weaker connected topology. Various sufficient and ne...
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topol...
AbstractWe prove that any metrizable non-compact space has a weaker metrizable nowhere locally compa...
Abstract. We prove that a disconnected Hausdorff space X with a count-able network has a weaker conn...
Abstract. We prove that, if X is a Tychonoff connected space and X(x, X)::;; OJ for some x E X, then...
summary:A non-connected, Hausdorff space with a countable network has a connected Hausdorff-subtopol...
The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff...
We introduce the concept of a topological J-group and determine for many important examples of topol...
In our paper [O] the proof of Theorem 2.7 is not correct. In that proof we constructed a space X 7 ...
AbstractIt is known that the free topological group over the Tychonoff space X, denoted F(X), is a P...
To the memory of our friend Klaus ABSTRACT. In every space for which there exists a strictly finer t...
We construct in ZFC two compact weakly Whyburn spaces that are not hereditarily weakly Whyburn. We a...
AbstractWe present some answers to the title. For example, if K is compact, zero-dimensional and D i...
Let (X,T) be a topological space. An extension of T is a topology T ' for X such that T ' ...