Geodesic
Separability of path spaces under the open-point and bi-point-open topologies
Filomat, Tome 35 (2021) no. 7, p. 2209

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DOI

In [3], two new kinds of topologies called the open-point topology and the bi-point-open topology on C(X), the set of all real-valued continuous functions on a Tychonoff space X, have been introduced. In this article, we study the separability of the space P(X), of all continuous maps on [0, 1] into a Hausdorff space X, with the open-point and bi-point-open topologies. Our result also demonstrates, the claim made in [3], that both the domain as well as the codomain play significant roles in the construction of the open-point and bi-point-open topologies
DOI : 10.2298/FIL2107209J
Classification : 54C35, 54D05, 54D65
Keywords: Open-point topology, bi-point-open topology, path spaces, Peano space, σ-Peano space 
Anubha Jindal. Separability of path spaces under the open-point and bi-point-open topologies. Filomat, Tome 35 (2021) no. 7, p. 2209 . doi: 10.2298/FIL2107209J
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     title = {Separability of path spaces under the open-point and bi-point-open topologies},
     journal = {Filomat},
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     year = {2021},
     volume = {35},
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     doi = {10.2298/FIL2107209J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107209J/}
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