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search.filters.author.Antony, K.
1
search.filters.author.Veerapazham, M.
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search.filters.subject.Discontinuity
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search.filters.subject.Baire function
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search.filters.subject.Borel of additive class k
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search.filters.subject.Non-monotone point
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search.filters.subject.Perfect kernel
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Baire functions and non-isolated non-monotone discontinuities
(
Elsevier B.V.
,
2024
)
Veerapazham, M.
;
Antony, K.
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We show that a Baire function on a metric space can be described in terms of its restrictions on specific subsets. Furthermore, it is proved that for a real-valued function on a subset of R, among all points of discontinuity, the non-isolated non-monotone points are crucial to determining whether the function is a Baire function or not. © 2024 Elsevier B.V.
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