A class of angelic sequential non-Fréchet--Urysohn topological groups

DOI10.1016/j.topol.2006.08.008zbMath1106.22002OpenAlexW2124071403MaRDI QIDQ861959

Maria-Jesus Chasco, Elena Martín-Peinador, Vazha Tarieladze

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.08.008

zbMATH Keywords

sequential spacelocally convex spacecompact-open topologyAbelian topological group\(k\)-spaceFréchet--Urysohn

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16)

Related Items (11)

Spaces \(C(X)\) with ordered bases ⋮ Topological properties of function spaces \(C_{k}(X,2)\) over zero-dimensional metric spaces \(X\) ⋮ Topologies on groups determined by sets of convergent sequences ⋮ Weak countability axioms of coset spaces ⋮ On topological properties of Fréchet locally convex spaces with the weak topology ⋮ One-parameter subgroups of topological abelian groups ⋮ Characterizing sequences for precompact group topologies ⋮ Diagonal sequence property in Banach spaces with weaker topologies ⋮ A note on (strongly) topological gyrogroups ⋮ Invariant Ideal Axiom ⋮ On topological spaces and topological groups with certain local countable networks

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