We prove that if a paratopological group G is a continuous image of an arbitrary product of regular Lindelöf Σ-spaces, then it is R-factorizable and has countable cellularity. If in addition, G is regular, then it is totally w-narrow and satisfies celw(G) ≤ w, and the Hewitt–Nachbin completion of G is again an R-factorizable paratopological group
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...
summary:We construct a Hausdorff topological group $G$ such that $\aleph_1$ is a precalibre of $G$ (...
AbstractIt is shown that an image X of a product of Lindelöf Σ-spaces or of a countably compact (eve...
AbstractWe show that every subgroup of the σ-product of a family {Gi:i∈I} of regular paratopological...
For i = 1, 2, 3, 3.5, we define the class of Ri-factorizable paratopological groups G by the conditi...
AbstractWe show that every subgroup of the σ-product of a family {Gi:i∈I} of regular paratopological...
AbstractFor i=1,2,3,3.5, we define the class of Ri-factorizable paratopological groups G by the cond...
In many natural objects of topological algebra that possess the algebraic structure of a group, the ...
AbstractWe prove several facts about cellularity and κ-cellularity of λ-Lindelöf groups generated by...
AbstractThe main subject of our study are P-groups, that is, the topological groups whose Gδ-sets ar...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
AbstractSeveral new facts concerning topologies of paratopological and semitopological groups are es...
We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow group...
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...
summary:We construct a Hausdorff topological group $G$ such that $\aleph_1$ is a precalibre of $G$ (...
AbstractIt is shown that an image X of a product of Lindelöf Σ-spaces or of a countably compact (eve...
AbstractWe show that every subgroup of the σ-product of a family {Gi:i∈I} of regular paratopological...
For i = 1, 2, 3, 3.5, we define the class of Ri-factorizable paratopological groups G by the conditi...
AbstractWe show that every subgroup of the σ-product of a family {Gi:i∈I} of regular paratopological...
AbstractFor i=1,2,3,3.5, we define the class of Ri-factorizable paratopological groups G by the cond...
In many natural objects of topological algebra that possess the algebraic structure of a group, the ...
AbstractWe prove several facts about cellularity and κ-cellularity of λ-Lindelöf groups generated by...
AbstractThe main subject of our study are P-groups, that is, the topological groups whose Gδ-sets ar...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
summary:We introduce and study, following Z. Frol'{\i}k, the class $\Cal B(\Cal P)$ of regular $P$-s...
AbstractSeveral new facts concerning topologies of paratopological and semitopological groups are es...
We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow group...
AbstractIn this paper the concept of property ω-U is introduced in topological groups. The main resu...
summary:We construct a Hausdorff topological group $G$ such that $\aleph_1$ is a precalibre of $G$ (...
AbstractIt is shown that an image X of a product of Lindelöf Σ-spaces or of a countably compact (eve...
DOI
Add to ORKG