The discontinuity point set of A-continuous functions (in Ukrainian)

Author O. V. Maslyuchenko
ovmasl@gmail.com
Чернівецький національний університет імені Ю. Федьковича

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.
Keywords A-continuous function; discontinuity point set; quasi-continuous function; linearly continuous function; A-nowhere dense set; $\sigma$-A-nowhere dense set
DOI
doi:10.30970/ms.37.1.89-97
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 2. O.V. Maslyuchenko, Construction of $\omega$-primitives: the strongly attaineble spaces, Mat. visnyk NTSh, 6 (2009), 155–178. (in Ukrainian)

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 4. O.V. Maslyuchenko, The discontinuity point sets of quasi-continuous functions, Bul. Austral. Math. Soc., 75 (2007), №3, 373–379.

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Pages 89-97
Volume 37
Issue 1
Year 2012
Journal Matematychni Studii
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