Geodesic
The relative lattice path operad
Quesney, Alexandre1
1 Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, Brazil
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1753-1798

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We construct a set-theoretic coloured operad ℛℒ 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.

DOI : 10.2140/agt.2018.18.1753
Classification : 18D50, 18G30, 55P48
Keywords: relative lattice path operad, Swiss cheese operad

Quesney, Alexandre 1

1 Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, Brazil 
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Quesney, Alexandre. The relative lattice path operad. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1753-1798. doi: 10.2140/agt.2018.18.1753

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