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.
Original language | English |
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Pages (from-to) | 71-79 |
Number of pages | 9 |
Journal | Quarterly Journal of Mathematics |
Volume | 58 |
Issue number | 1 |
DOIs | |
Publication status | Published - 18 Jul 2006 |
Keywords
- SEMIGROUPS
- Infinite Combinatorics