Mathematics > Algebraic Topology
arXiv:2601.03985 (math)
[Submitted on 7 Jan 2026 (v1), last revised 28 May 2026 (this version, v2)]
Abstract:We introduce the wreath product for a class of operadic categories and use it to construct an explicit isomorphism between the Boardman-Vogt tensor product of two colored operads in Set and an operad induced by the wreath product of operadic Grothendieck constructions of the respective operads. We also describe how the wreath product of operadic categories is related to the wreath product of categories introduced by C. Berger to characterize n-fold loop spaces.
Submission history
From: Daria Pavlova [view email]
[v1]
Wed, 7 Jan 2026 14:57:30 UTC (24 KB)
[v2]
Thu, 28 May 2026 13:29:05 UTC (31 KB)
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