The relative lattice path operad
arXiv:1511.05826 · doi:10.2140/agt.2018.18.1753
Abstract
We construct a set-theoretic coloured operad that may be thought of as a combinatorial model for the Swiss Cheese operad. This is the relative (or Swiss Cheese) version of the lattice path operad constructed by Batanin and Berger. By adapting their condensation process we obtain a topological (resp. chain) operad that we show to be weakly equivalent to the topological (resp. chain) Swiss Cheese operad.
Final version accepted for publication in Algebraic & Geometric Topology, Volume 18, issue 3 (2018)