Generating sequences of functions

• Autores: J. D. Mitchell, Yann H. Péresse, M. R. Quick
• Localización: Quarterly journal of mathematics, ISSN 0033-5606, Vol. 58, Nº. 1, 2007, págs. 71-79
• Idioma: inglés
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• Resumen

  • 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 .