Acta Mathematica Hungarica

, Volume 153, Issue 1, pp 109–119 | Cite as

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

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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.

Key words and phrases

point-open topology open-point topology bi-point-open topology completely metrizable Čech-complete locally Čech-complete sieve-complete partition-complete pseudocomplete Baire space 

Mathematics Subject Classification

primary 54C35 secondary 54E18 54E35 54E50 54E52 54E99 
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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2017

Authors and Affiliations

  1. 1.Department Of MathematicsMalaviya National Institute of Technology JaipurJaipurIndia
  2. 2.Department Of MathematicsIndian Institute of Technology DelhiNew DelhiIndia
  3. 3.Department of MathematicsVirginia Tech.BlacksburgUSA

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