On points of qualitative semicontinuity. (English) Zbl 0624.26006

Natkaniec, Tomasz

Čas. Pěstování Mat. 110, 337-342 (1985).

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

Keywords:

ZFM 624.26005; qualitative semicontinuity