English

On selective sequential separability of function spaces with the compact-open topology

General Topology 2018-05-16 v1

Abstract

For a Tychonoff space XX, we denote by Ck(X)C_k(X) the space of all real-valued continuous functions on X with the compact-open topology. In this paper, we have gave characterization for Ck(X)C_k(X) to satisfy Sfin(S,S)S_{fin}(S, S).

Keywords

Cite

@article{arxiv.1805.05794,
  title  = {On selective sequential separability of function spaces with the compact-open topology},
  author = {Alexander V. Osipov},
  journal= {arXiv preprint arXiv:1805.05794},
  year   = {2018}
}

Comments

9 pages. arXiv admin note: substantial text overlap with arXiv:1805.04363

R2 v1 2026-06-23T01:55:54.988Z