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Functions with a Closed Graph
Proceedings of the American Mathematical Society
Vol. 43, No. 2 (Apr., 1974), pp. 439-442
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2038910
Page Count: 4
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Let X be a T2 Baire space. A set $F \subset X$ is closed and nowhere dense in X if F is the set of points of discontinuity of a function with a closed graph from X into Rn. Although the converse does not hold in general, it does hold when X is the real line.
Proceedings of the American Mathematical Society © 1974 American Mathematical Society