16 citations · 106 across the 45 of their papers we have counts for
4 papers · 1 filter
Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids
Taras Banakh, Alex Ravsky
We define a notion of a rotund quasi-uniform space and describe a new direct construction of a (right-continuous) quasi-pseudometric on a (rotund) quasi-uniform space. This new con…
Each regular paratopological group is completely regular
Taras Banakh, Alex Ravsky
We prove that a semiregular topological space is completely regular if and only if its topology is generated by a normal quasi-uniformity. This characterization implies that ea…
Cone topologies of paratopological groups
Alex Ravsky
We introduce so-called cone topologies of paratopological groups, which are a wide way to construct counterexamples, especially of examples of compact-like paratopological groups w…
Pseudocompact paratopological groups that are topological
Alex Ravsky
We obtain necessary and sufficient conditions when a pseudocompact paratopological group is topological. (2-)pseudocompact and countably compact paratopological groups that are not…