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The discontinuity point set of $mathcal{A}$-continuous functions (in Ukrainian)
Journal: Matematychni Studii (Vol.37, No. 1)Publication Date: 2012-01-01
Authors : Maslyuchenko O. V.;
Page : 89-97
Keywords : A-continuous function; discontinuity point set; quasi-continuous function; linearly continuous function; A-nowhere dense set; $\sigma$-A-nowhere dense set;
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Abstract
We characterize the set of discontinuity points of A-continuous quasi-continuous functions of the first class defined on hereditarily normal weakly pairwise attainable spaces. Besides, we obtain several sufficient properties of a subset of a normed space which guarantee an existence of a linearly continuous function with the given discontinuity point set.
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Last modified: 2014-01-13 20:03:00