Articles by Hoan La

Skeletal posets of the Tamari lattice and beyond

-- Hoan La (LISN)

summary: Given a lattice \(L\), the subposet \(\mathrm{Spine}(L)\) of \(L\) is the union of the longest maximal chains in \(L\). Dually, the subposet \(\mathrm{Spine}'(L)\) of \(L\) is the union of the shortest maximal chains in \(L\). For certain lattices, these subposets are particularly well-behaved; an example ...

Manytamaris: on descriptions of the Tamari lattice

-- Hoan La (LISN, Galac)

summary: Manytamaris is a website about the Tamari lattice. The interest in this particular lattice stems from its many properties, besides being a lattice, and its numerous appearances in different areas of mathematics. As such, the goal for Manytamaris is to be a survey on the descriptions of the Tamari ...