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

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.

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