Baire classification of I-approximately and I-density continuous functions


Krzysztof Ciesielski & Lee Larson

Forum Math. 7 (1995), 405-417

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.

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Last modified May 1, 1999.