Completeness Properties of the open-point and bi-point-open topologies on C(X)
Anubha Jindal, R. A. McCoy, S. Kundu, Varun Jindal
TL;DR
This paper investigates various completeness properties, including metrizability and Baire space characteristics, of the open-point and bi-point-open topologies on the space of continuous functions C(X).
Contribution
It provides new insights into the completeness properties of these topologies on C(X), expanding understanding of their topological structure.
Findings
Characterization of complete metrizability
Conditions for Baire space property
Analysis of topological completeness properties
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.
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