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math.CO2024
A remark on s-torsion pairs and on the lattice of Dyck paths
Baptiste Rognerud
There are three classical lattices on the Catalan numbers: the Tamari lattice, the lattice of noncrossing partitions and the lattice of Dyck paths. The first is known to be isomorp…
math.CO2024
On the lattice of the weak factorization systems on a finite lattice
Yongle Luo, Baptiste Rognerud
We consider the lattice of all the weak factorization systems on a given finite lattice. We prove that it is semidistributive, trim and congruence uniform. We deduce a graph theore…