The relative lattice path operad

Fuente: arXiv
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Autore principale: Quesney, Alexandre
Natura: Preprint
Pubblicazione: 2015
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author Quesney, Alexandre
author_facet Quesney, Alexandre
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1511_05826
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle The relative lattice path operad
Quesney, Alexandre
Algebraic Topology
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.
title The relative lattice path operad
topic Algebraic Topology
url https://arxiv.org/abs/1511.05826