Combinatorial n-fold monoidal categories and n-fold operads

Simple item page
dc.creatorForcey, S.
dc.creatorSiehler, J.
dc.creatorSowers, E. Seth
dc.date2004-11-25
dc.date2006-09-12
dc.date.accessioned2026-07-07T06:39:04Z
dc.date.available2026-07-07T06:39:04Z
dc.descriptionOperads were originally defined as V-operads, that is, enriched in a symmetric or braided monoidal category V. The symmetry or braiding in V is required in order to describe the associativity axiom the operads must obey, as well as the associativity that must be a property of the action of an operad on any of its algebras. After a review of the role of operads in loop space theory and higher categories we go over definitions of iterated monoidal categories and introduce a large family of simple examples. Then we generalize the definition of operad by defining n-fold operads and their algebras in an iterated monoidal category. We discuss examples of these that live in the previously described categories. Finally we describe the iterated monoidal category of m-fold V-operads.
dc.descriptionCorrections made: see remark 1 in comparison with old versions
dc.identifierhttps://arxiv.org/abs/math/0411561
dc.identifierhttp://arxiv.org/abs/math/0411561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100955
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subject18D10; 18D20
dc.titleCombinatorial n-fold monoidal categories and n-fold operads
dc.typetext

Files

Collections

arXiv