Analytic functions are I-density continuous

by

Krzysztof Ciesielski & Lee Larson

Comment. Math. Univ. Carolin. 35 (1994), 645-652

A real function is I-density continuous if it is continuous with the I-density topology on both the domain and the range. If f is analytic, then f is I-density continuous. There exists an function which is both C\infty and convex which is not I-density continuous.