Abstract
It is shown that if a function $f\colon\real\to\real$ is quasicontinuous and has a graph which is bilaterally dense in itself, then $f$ must be extendable to a connectivity function $F\colon\real^2\to\real$ and the set of discontinuity points of $f$ is $f$-negligible. This improves a result of H.~Rosen. A similar result for symmetrically continuous functions follows immediately.
Citation
Francis Jordan. "Quasicontinuous Functions with a Little Symmetry Are Extendable." Real Anal. Exchange 25 (1) 485 - 488, 1999/2000.
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