Let TO be the ordinary topology, TI be the I-density topology, and TD be the deep-I-density topology on the real numbers, R. Any continuous function f:(R,TI)-->(R,TO) is a Darboux function of the first Baire class. Any unilaterally continuous function f:(R,TD)-->(R,TD) is a Darboux function of the Baire*1 class.
LaTeX 2.09 source file.
Last modified May 1, 1999.