Neighborhood base at the identity of free paratopological groups

DOI10.2478/TAA-2013-0004zbMath1279.22007arXiv1301.2642OpenAlexW2002219868MaRDI QIDQ2865614

Ali Sayed Elfard

Publication date: 2 December 2013

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2642

zbMATH Keywords

topological groupfree paratopological groupfree topological groupparatopological groupAlexandroff spacefine quasi-uniformityfine uniformityneighborhood base at the identity

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Other topological algebraic systems and their representations (22A30) Connections of general topology with other structures, applications (54H99)

Related Items (3)

A note on paratopological groups with an \(\omega^\omega \)-base ⋮ Free Abelian paratopological groups over metric spaces ⋮ Neighborhood base at the identity of free paratopological groups

Cites Work

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• Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space
• A bitopological view of quasi-topological groups
• On the topology of free paratopological groups. II
• Neighborhood base at the identity of free paratopological groups
• On topologies of free groups

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