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Spaces of continuous functions over a Ψ-space
Authors:Alan Dow  Petr Simon
Institution:a Department of Mathematics, University of North Carolina - Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, USA
b Department of Computer Science and Mathematical Logic, Charles University, Malostranské nám. 25, 11000 Praha 1, Czech Republic
Abstract:The Lindelöf property of the space of continuous real-valued continuous functions is studied. A consistent example of an uncountable Ψ-like space is constructed for which the space of continuous real-valued functions with the pointwise convergence topology is Lindelöf.
Keywords:54C35  54D20
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