Categorified Cyclic Operads

In this paper, we introduce a notion of categorified cyclic operad for set-based cyclic operads with symmetries. Our categorification is obtained by relaxing defining axioms of cyclic operads to isomorphisms and by formulating coherence conditions for these isomorphisms. The coherence theorem that w...

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Veröffentlicht in:	Applied categorical structures 2020-02, Vol.28 (1), p.59-112
Hauptverfasser:	Curien, Pierre-Louis, Obradović, Jovana
Format:	Artikel
Sprache:	eng
Schlagworte:	Axioms Coherence Convex and Discrete Geometry Flavors Geometry Isomorphism Mathematical Logic and Foundations Mathematics Mathematics and Statistics Theory of Computation
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