A Note on Boolean Lattices and Farey Sequences

Details A Note on Boolean Lattices and Farey Sequences A Note on Boolean Lattices and Farey Sequences

2007-02-05

arxiv.org/abs/math/0702106v2

INTEGERS: Electronic Journal of Combinatorial Number Theory, 7 (2007), #A20

Mathematics

Combinatorics

8 pages; published version

Scientific paper

We establish monotone bijections between the Farey sequences of order m and
the halfsequences of Farey subsequences associated with the rank m elements of
the Boolean lattice of subsets of a 2m-set. We also present a few related
combinatorial identities.

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