Operads revisited
arXiv:math/0701767 · doi:10.1007/978-0-8176-4745-2_16
Abstract
Operads may be represented as symmetric monoidal functors on a small symmetric monoidal category. We discuss the axioms which must be imposed on a symmetric monoidal functor in order that it give rise to a theory similar to the theory of operads: we call such functors patterns. We also develop the enriched version of the theory, and show how it may be applied to axiomatize topological field theory.
25 pages
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