1 citations · 2 across the 3 of their papers we have counts for
4 papers
Directed hereditary species and decomposition spaces
Alex Cebrian, Wilson Forero
We introduce the notion of directed hereditary species and show that they have associated monoidal decomposition spaces, comodule bialgebras, and operadic categories. The notion su…
Plethysms and operads
Alex Cebrian
We introduce the -construction, an endofunctor on the category of generalized operads as a general mechanism by which various notions of plethystic substitution arise…
Combinatorics and simplicial groupoids
Alex Cebrian
This expository paper starts with a brief survey on the relation between partitions and surjections of sets, and then gives a quick introduction to the theories of incidence algebr…
A simplicial groupoid for plethysm
Alex Cebrian
We give a simple combinatorial model for plethysm. Precisely, the bialgebra dual to plethystic substitution is realised as the homotopy cardinality of the incidence bialgebra of an…