ABSTRACT
Earlier we were concerned with various continuous but nondifferentiable functions acting from R into R. In this chapter, we wish to discuss one general approach to such functions from the viewpoint of category and measure. Roughly speaking, our goal is to demonstrate that, for a given generalized notion of derivative (introduced within the theory ZF & DC), the set of continuous nondifferentiable functions (with respect to this notion) turns out to be sufficiently large.
