Completeness Properties of the open-point and bi-point-open topologies on C(X)
General Topology
2016-07-07 v1
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.
Keywords
Cite
@article{arxiv.1607.01491,
title = {Completeness Properties of the open-point and bi-point-open topologies on C(X)},
author = {Anubha Jindal and R. A. McCoy and S. Kundu and Varun Jindal},
journal= {arXiv preprint arXiv:1607.01491},
year = {2016}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1604.04609, arXiv:1602.02374 by other authors