2009
DOI: 10.1515/dema-2009-0104
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Maximal Classes for the Family of Quasi-Continuous Functions With Closed Graph

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“…[47], [61]), extra strongŚwiatkowski functions [62], which are both Darboux and quasicontinuous however their set of dicontinuity points can be of positive measure. Quasicontinuous functions with closed graph [11], [57] or internally quasicontinuous functions (a function f is internally quasicontinuous [48] if is quasicontinuous and its set of points of discontinuity is nowhere dense) are such that the set of discontinuity is nowhere dense, but it can be of positive measure. However, it is a subject for another paper.…”
Section: Other Classes Of Functions Between Continuous and Quasicontimentioning
confidence: 99%
“…[47], [61]), extra strongŚwiatkowski functions [62], which are both Darboux and quasicontinuous however their set of dicontinuity points can be of positive measure. Quasicontinuous functions with closed graph [11], [57] or internally quasicontinuous functions (a function f is internally quasicontinuous [48] if is quasicontinuous and its set of points of discontinuity is nowhere dense) are such that the set of discontinuity is nowhere dense, but it can be of positive measure. However, it is a subject for another paper.…”
Section: Other Classes Of Functions Between Continuous and Quasicontimentioning
confidence: 99%