Generating sequences of functions,

J. D. Mitchell, Y. Peresse, and M. R. Quick, ;Generating sequences of functions', The Quarterly Journal of Mathematics, Vol. 58 (1): 71-79, July 2006, available online at doi: https://doi.org/10.1093/qmath/hal011. © 2006. Published by Oxford University Press.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.Peer reviewe