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This article is available for purchase or by subscription. See below.
Abstract
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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.
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Keywords
relative lattice path operad, Swiss cheese operad
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Mathematical Subject Classification 2010
Primary: 18D50
Secondary: 18G30, 55P48
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Publication
Received: 18 July 2017
Revised: 18 November 2017
Accepted: 17 December 2017
Published: 3 April 2018
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