논문KCI 등재
Metrizability and submetrizability for point-open, open-point and bi-point-open topologies on $C(X,Y)$
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We characterize metrizability and submetrizability for point-open, open-point and bi-point-open topologies on \scalebox{0.98}{$C(X,Y)$}, where \scalebox{0.98}{$C(X,Y)$} denotes the set of all continuous functions from space $X$ to $Y$; $X$ is a completely regular space and $Y$ is a locally convex space.
Abstract
We characterize metrizability and submetrizability for point-open, open-point and bi-point-open topologies on \scalebox{0.98}{$C(X,Y)$}, where \scalebox{0.98}{$C(X,Y)$} denotes the set of all continuous functions from space $X$ to $Y$; $X$ is a completely regular space and $Y$ is a locally convex space.
참고문헌 (6)
- A. Arhangel'skii, "Topological groups and related structures" (2008), Atlantis Press
- A. V. Arkhangel'skii, "Topological function spaces" (1992), Kluwer Academic Publishers Group
- Anubha Jindal, "The open-point and bi-point-open topologies on <mml:math xmlns:mml="http:", 1998, pp.Math, MathML" altimg="si1.gif" overflow="scroll"><mml:mi>C<[DOI]
- Anubha Jindal, "The open-point and bi-point-open topologies on C(X): Submetrizability and cardinal functions", Topology and its Applications, 196, pp.229~240 (2015), Elsevier BV[DOI]
- Robert A. McCoy, "Topological Properties of Spaces of Continuous Functions" (1988), Springer-Verlag
- A. E. Taylor, "Introduction to Functional Analysis" (1986), Robert E. Krieger Publishing Co., Inc
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