Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences

DOI10.1007/s40879-017-0180-2zbMath1406.54010OpenAlexW2756902759MaRDI QIDQ723357

Vladimir V. Tkachuk

Publication date: 31 July 2018

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-017-0180-2

zbMATH Keywords

scattered spacefunction space\(k\)-spacecompact spaceFréchet-Urysohn spacepointwise convergence topologynon-trivial convergent sequenceBanakh propertyEG-space

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Counterexamples in general topology (54G20)

Related Items (3)

Strong domination by countable and second countable spaces ⋮ Some applications of discrete selectivity and Banakh property in function spaces ⋮ A countable dense homogeneous topological vector space is a Baire space

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