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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
53/2024

Enveloping operads and applications

Víctor Carmona Sánchez

Abstract

This work addresses the homotopical analysis of enveloping operads in a general cofibrantly generated symmetric monoidal model category. We show the potential of this analysis by obtaining, in a uniform way, several central results regarding the homotopy theory of operadic algebras.

Received:
26.08.24
Published:
26.08.24
MSC Codes:
18M60, 18M70, 18M75, 18N40, 18N70, 18G99
Keywords:
Operads, homotopy theory, Higher algebra, Model categories