The space of density continuous functions


Krzysztof Ciesielski and Lee Larson

Acta Math. Hungar. 58 (1991), 289-296

A function f:R-->R is density continuous if it is continuous when using the density topology on both its domain and range. The set of density continuous functions contains all convex functions and all real analytic functions, but does not contain all C\infty functions. It is not closed under addition.

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Last modified December 18, 2000.