An m-eralized cyclic Tamari lattice

Construct and characterize a meaningful analogue of the $m$-eralized Tamari lattice within the framework of cyclic and affine Tamari lattices.

Background

The paper situates cyclic and affine Tamari lattices alongside established generalizations of the Tamari lattice, including $m$-Tamari, $\nu$-Tamari, and $m$-eralized Tamari lattices. It proposes extending the cyclic and affine constructions to such settings but does not define or analyze an $m$-eralized cyclic Tamari lattice.