AbstractWe prove that if (G, ·) is a group with a metric, separable, and Baire topology T such that h → g · h is continuous for all g ϵ G and g → g · h is Baire measurable for all h ϵ G, then (G, T) is a topological group. Several consequences of this result concerning free actions of standard Borel groups are established
AbstractA semitopological group (topological group) is a group endowed with a topology for which mul...
Let X and K be a Cech-complete topological group and a compact group, ˇ respectively. We prove that...
AbstractLet C(X,G) be the group of continuous functions from a topological space X into a topologica...
AbstractWe prove that if (G, ·) is a group with a metric, separable, and Baire topology T such that ...
We prove that a homomorphism $h:X\to Y$ from a (locally compact) Cech-complete topological group $X$...
AbstractWe prove that, when G is a group equipped with a Baire and metrizable topology, if there is ...
AbstractLet ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space and Z a compl...
A topologized group is simply a group (G, ·) equipped with a topology t. The question as to when a t...
AbstractThis paper continues the investigation begun in [M.R. Burke, Topology Appl. 129 (2003) 29–65...
We give a short proof of an improved version of the Effros Open Mapping Principle via a shift-compac...
International audienceVarious theorems which are valid in the presence of metrizability or compactne...
International audienceThis paper answers positively a question of Pfister by proving that every Čech...
summary:We study conditions under which sequentially continuous functions on topological spaces and ...
AbstractVarious theorems which are valid in the presence of metrizability or compactness can be gene...
International audienceLet ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space...
AbstractA semitopological group (topological group) is a group endowed with a topology for which mul...
Let X and K be a Cech-complete topological group and a compact group, ˇ respectively. We prove that...
AbstractLet C(X,G) be the group of continuous functions from a topological space X into a topologica...
AbstractWe prove that if (G, ·) is a group with a metric, separable, and Baire topology T such that ...
We prove that a homomorphism $h:X\to Y$ from a (locally compact) Cech-complete topological group $X$...
AbstractWe prove that, when G is a group equipped with a Baire and metrizable topology, if there is ...
AbstractLet ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space and Z a compl...
A topologized group is simply a group (G, ·) equipped with a topology t. The question as to when a t...
AbstractThis paper continues the investigation begun in [M.R. Burke, Topology Appl. 129 (2003) 29–65...
We give a short proof of an improved version of the Effros Open Mapping Principle via a shift-compac...
International audienceVarious theorems which are valid in the presence of metrizability or compactne...
International audienceThis paper answers positively a question of Pfister by proving that every Čech...
summary:We study conditions under which sequentially continuous functions on topological spaces and ...
AbstractVarious theorems which are valid in the presence of metrizability or compactness can be gene...
International audienceLet ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space...
AbstractA semitopological group (topological group) is a group endowed with a topology for which mul...
Let X and K be a Cech-complete topological group and a compact group, ˇ respectively. We prove that...
AbstractLet C(X,G) be the group of continuous functions from a topological space X into a topologica...