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A Regular Space on Which Every Real-Valued Function with a Closed Graph is Constant
Published online by Cambridge University Press: 20 November 2018
Abstract
An example is given of a regular space on which every real-valued function with a closed graph is constant. It was previously known that there are regular spaces on which every continuous function is constant. It is also shown here that there are regular spaces that support only constant real-valued continuous functions, but support non-constant real-valued functions with a closed graph.
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- Copyright © Canadian Mathematical Society 1989
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