Abstract
In this chapter, we study various topological properties of the uniform, fine and graph topologies on the space C(X, Y), the set of all continuous functions from a Tychonoff space X to a metric space Y. In particular, we study the metrizability, first countability and various completeness properties of the uniform, fine and graph topologies on C(X, Y).
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McCoy, R.A., Kundu, S., Jindal, V. (2018). Metrizability and Completeness Properties of \(C_{\tau } (X, Y)\) for \(\tau = d,f, g\). In: Function Spaces with Uniform, Fine and Graph Topologies. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-77054-3_2
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DOI: https://doi.org/10.1007/978-3-319-77054-3_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77053-6
Online ISBN: 978-3-319-77054-3
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