21 citations · 37 across the 30 of their papers we have counts for
5 papers · 1 filter
The continuous weak order
Maria João Gouveia, Luigi Santocanale
The set of permutations on a finite set can be given the lattice structure known as the weak Bruhat order. This lattice structure is generalized to the set of words on a fixed alph…
Lattices of regular closed subsets of closure spaces
Luigi Santocanale, Friedrich Wehrung
For a closure space (P,f) with f(\emptyset)=\emptyset, the closures of open subsets of P, called the regular closed subsets, form an ortholattice Reg(P,f), extending the poset Clop…
The extended permutohedron on a transitive binary relation
Luigi Santocanale, Friedrich Wehrung
For a given transitive binary relation e on a set E, the transitive closures of open (i.e., co-transitive in e) sets, called the regular closed subsets, form an ortholattice Reg(e)…
Sublattices of associahedra and permutohedra
Luigi Santocanale, Friedrich Wehrung
Grätzer asked in 1971 for a characterization of sublattices of Tamari lattices (associahedra). A natural candidate was coined by McKenzie in 1972 with the notion of a bounded homom…
Congruences of Multinomial Lattices
Luigi Santocanale
We study the congruence lattices of the multinomial lattices L(v) introduced by Bennett and Birkhoff. Our main motivation is to investigate Parikh equivalence relations that model…