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On points of qualitative semicontinuity. (English) Zbl 0624.26006

The author proves, under the assumption that every subset of R with cardinality less than continuum is of first category (e.g. under CH or MA), a generalization of a result of Z. Grande [Fundam. Math. 126, 1-13 (1985; preceding review)].
Reviewer: Á.Császár

MSC:

26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
03E50 Continuum hypothesis and Martin’s axiom
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