The relative lattice path operad

Quesney, Alexandre

doi:10.2140/agt.2018.18.1753

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The relative lattice path operad

Alexandre Quesney

Algebraic & Geometric Topology 18 (2018) 1753–1798

DOI: 10.2140/agt.2018.18.1753

Abstract

We construct a set-theoretic coloured operad $ℛ ℒ$ 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.

Keywords

relative lattice path operad, Swiss cheese operad

Mathematical Subject Classification 2010

Primary: 18D50

Secondary: 18G30, 55P48

References

Publication

Received: 18 July 2017

Revised: 18 November 2017

Accepted: 17 December 2017

Published: 3 April 2018

Authors

Alexandre Quesney
Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo São Carlos Brazil

Volume 18, issue 3 (2018)