Completeness Properties of the open-point and bi-point-open topologies on C(X)

2016/07/06 by Anubha Jindal, R. A. McCoy, Jindal, Anubha +6
Mathematics · #54C35 #54E18 #54E35 #54E50 #54E52 #54E99 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54C35 #msc:54E18 #msc:54E35 #msc:54E50 #msc:54E52 #msc:54E99

paper · pdf · doi:10.48550/arxiv.1607.01491

9 pages. arXiv admin note: text overlap with arXiv:1604.04609, arXiv:1602.02374 by other authors

arxiv created 2016/07/06 · openalex publication_date 2016/07/06 · arxiv updated 2016/07/07 · openalex created_date 2022/11/26 · openalex updated_date 2026/07/28

Abstract

This paper studies various completeness properties of the open-point and bi-point-open topologies on the space C(X) of all real-valued continuous functions on a Tychonoff space X. The properties range from complete metrizability to the Baire space property.

Citations

• On separability of the functional space with the open-point and bi-point-open topologies, II
• On separability of the functional space with the open-point and bi-point-open topologies

Related

• The Bi-Compact-Open Topology on C(X)
• The C-compact-open topology on function spaces
• Universally complete spaces of continuous functions
• On separability of the functional space with the open-point and bi-point-open topologies, II
• On separability of the functional space with the open-point and bi-point-open topologies