On the submetrizability number and $i$-weight of quasi-uniform spaces and paratopological groups

zbMath1335.54036arXiv1503.04278MaRDI QIDQ3456860

Taras Banakh, O. V. Ravskyj

Publication date: 9 December 2015

Full work available at URL: https://arxiv.org/abs/1503.04278

zbMATH Keywords

pre-uniformitysubmetrizable spaceparatopological grouptopological monoid\(i\)-weightquasiuniformity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Other topological algebraic systems and their representations (22A30)

Related Items (9)

Each regular paratopological group is completely regular ⋮ Lindelöf \(\Sigma\)-spaces and \(\mathbb R\)-factorizable paratopological groups ⋮ On \(P\)-bases and \(\omega^\omega\)-\(sn \)-networks ⋮ The establishment and development of star-Lindelöf spaces ⋮ Notes on (regular) \(T_3\)-reflections in the category of semitopological groups ⋮ A note on paratopological groups with an \(\omega^\omega \)-base ⋮ Totally Lindelöf and totally \(\omega \)-narrow paratopological groups ⋮ A note on paratopological loops ⋮ Verbal covering properties of topological spaces

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