1 citations · 2 across the 4 of their papers we have counts for
4 papers
2-Segal sets from cuts of rooted trees
Julia E. Bergner, Olivia Borghi, Pinka Dey +2
The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen -construction in algebraic -theory, Hall algebras, and (co)operad…
On differential Hopf algebras and algebras
Imma Gálvez-Carrillo, María Ronco, Andy Tonks
We establish a structure theorem, analogous to the classical result of Milnor and Moore, for differential graded Hopf algebras: any differential Hopf algebra that is free as a…
Convex decomposition spaces and Crapo complementation formula
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
We establish a Crapo complementation formula for the Möbius function in a general decomposition space in terms of a convex subspace and its complement: $μ^X \simeq μ^…
Decomposition Spaces, Incidence Algebras and Möbius Inversion
Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks
We introduce the notion of decomposition space as a general framework for incidence algebras and Möbius inversion: it is a simplicial infinity-groupoid satisfying an exactness cond…