Density Continuity versus Continuity

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Density Continuity Versus Continuity

Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if...

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ژورنال

عنوان ژورنال: Forum Mathematicum

سال: 1990

ISSN: 0933-7741,1435-5337

DOI: 10.1515/form.1990.2.265