Functional Equations and Their Related Operads

dc.creatorMinasian, Vahagn
dc.date2003-06-16
dc.date.accessioned2026-07-07T04:58:59Z
dc.date.available2026-07-07T04:58:59Z
dc.descriptionUsing functional equations, we define functors that generalize standard examples from calculus of one variable. Examples of such functors are discussed and their Taylor towers are computed. We also show that these functors factor through objects enriched over the homology of little $n$-cubes operads and discuss the relationship between functors defined via functional equations and operads. In addition, we compute the differentials of the forgetful functor from the category of $n$-Poisson algebras in terms of the homology of configuration spaces.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/0306241
dc.identifierhttp://arxiv.org/abs/math/0306241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67803
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject55U15, 18D50
dc.titleFunctional Equations and Their Related Operads
dc.typetext

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