Generating sequences of functions,
Author
Mitchell, James D.
Peresse, Yann
Quick, Martyn
Attention
2299/17973
Abstract
We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on ℕ.