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On function spaces related to d-spaces

URI
https://hdl.handle.net/10497/23576
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Type
Article
Citation
Liu, B., Li, Q., & Ho, W. K. (2021). On function spaces related to d-spaces. Topology and its Applications, 300, Article 107757. https://doi.org/10.1016/j.topol.2021.107757
Author
Liu, Bei
•
Li, Qingguo
•
Ho, Weng Kin 
Abstract
For certain property ℜ of topological T0-spaces, we prove that if T0-space Y has property ℜ, then [X,Y] endowed with the Isbell topology possesses ℜ for any T0-space X ; and if X has property ℜ for some non-empty space X, then so does Y.
Keywords
  • Function spaces

  • d-space

  • Injective spaces

  • Δ-space

Date Issued
2021
Publisher
Elsevier
Journal
Topology and its Applications
DOI
10.1016/j.topol.2021.107757
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