Article
On Countability Properties of Function Spaces with the R-Compact-Open Topology
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Abstract
The purpose of this article is to examine the countability properties of the R-compact-open topology on RC(X) of all real-valued functions on X that are continuous on C-compact subsets of X, such as second countability, separability, and the properties of ℵ -space, Polish space and cosmic space.
Keywords
Function space, separability, second countable, cosmic space, ℵ 0-space.
Citation
Osmanoglu, I. & Gurbuz, N. (2024). On countability properties of function spaces with the r-compact-open topology. Turkish Journal of Science, 9(1), 1–5. https://doi.org/10.66833/TJOS-2024-0001
I. Osmanoglu and N. Gurbuz, “On countability properties of function spaces with the r-compact-open topology,” Turkish Journal of Science, vol. 9, no. 1, pp. 1–5, 2024, doi: 10.66833/TJOS-2024-0001.
Osmanoglu I, Gurbuz N. On countability properties of function spaces with the r-compact-open topology. Turkish Journal of Science. 2024;9(1):1–5. doi:10.66833/TJOS-2024-0001.
Osmanoglu, I. and Gurbuz, N. (2024), ‘On countability properties of function spaces with the r-compact-open topology’, Turkish Journal of Science, 9(1), pp. 1–5. Available at: https://doi.org/10.66833/TJOS-2024-0001.
Osmanoglu, Ismail, and Nefise Gurbuz. “On Countability Properties of Function Spaces with the R-compact-open Topology.” Turkish Journal of Science, vol. 9, no. 1, 2024, pp. 1–5. https://doi.org/10.66833/TJOS-2024-0001.
Osmanoglu, Ismail, and Nefise Gurbuz. “On Countability Properties of Function Spaces with the R-compact-open Topology.” Turkish Journal of Science 9, no. 1 (2024): 1–5. https://doi.org/10.66833/TJOS-2024-0001.
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- DOI: 10.66833/tjos-2024-0001
- Type: article
- Source: Turkish Journal of Science
- Published: 2024-04-30
- OpenAlex ID: W7171954415
Published by: Engineering Journals
