Quasicontinuous Functions with a Little Symmetry Are Extendable
Jordan, Francis
Real Anal. Exchange, Tome 25 (1999) no. 1, p. 485-488 / Harvested from Project Euclid
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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.
Publié le : 1999-05-15
Classification:  symmetrically continuous functions,  extendable functions,  quasicontinuous functions,  peripherally continuous functions,  Darboux functions,  26A15,  54C30 
@article{1231187623,
     author = {Jordan, Francis},
     title = {Quasicontinuous Functions with a Little Symmetry Are Extendable},
     journal = {Real Anal. Exchange},
     volume = {25},
     number = {1},
     year = {1999},
     pages = { 485-488},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1231187623}
}

Jordan, Francis. Quasicontinuous Functions with a Little Symmetry Are Extendable. Real Anal. Exchange, Tome 25 (1999) no. 1, pp.  485-488. http://gdmltest.u-ga.fr/item/1231187623/