This is an exposition on the submonoids of the monoid \( \mathsf {GL}_2 (\mathbb N) \) and the related trees of Calkin–Wilf, Stern–Brocot, Bird, Drib, Yu–Ting–Andreev, Hanna–Czyz–Self, Kepler and Lebesgue.

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Trees of Fractions

  • A. Muhammed Uludağ

摘要

This is an exposition on the submonoids of the monoid \( \mathsf {GL}_2 (\mathbb N) \) and the related trees of Calkin–Wilf, Stern–Brocot, Bird, Drib, Yu–Ting–Andreev, Hanna–Czyz–Self, Kepler and Lebesgue.