On sequentiality of spaces of continuous functions

DOI10.1070/RM1982v037n05ABEH004037zbMath0509.54010OpenAlexW2019898445MaRDI QIDQ4747205

Evgeny G. Pytkeev

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1982v037n05abeh004037

zbMATH Keywords

sequential spacelocally compact spacecompletely regular spacek-spaceFrechet-Uryson spacemetrisability of Frechet-Uryson countable subsets

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Sequential spaces (54D55) Topological linear spaces of continuous, differentiable or analytic functions (46E10) (k)-spaces (54D50)

Related Items

A note on \(\delta \)-strongly compact cardinals, \(p\)-Fréchet-Urysohn property of function spaces, Topologies on groups determined by sets of convergent sequences, Algebraic objects generated by topological structure, Topological properties of some function spaces, Bornologies, selection principles and function spaces, On generalization of theorems of Pestryakov, The Fréchet-Urysohn property of Pixley-Roy hyperspaces, First-countability, sequentiality and tightness of the upper Kuratowski convergence, The strong Pytkeev property for topological groups and topological vector spaces, Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences, A note on the tightness of \(G _{\delta}\)-modifications