Results 1 to 10 of about 3,752 (69)
Algebraic & Geometric Topology, 2018 We introduce a convenient definition for weak cyclic operads, which is based on unrooted trees and Segal conditions. More specifically, we introduce a category $\Xi$ of trees, which carries a tight relationship to the Moerdijk-Weiss category of rooted ...
Hackney, P., Robertson, M., Yau, D.
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Algebras of higher operads as enriched categories [PDF]
Applied Categorical Structures, 2011 38pp
Batanin, M., Weber, M.
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$omega$-Operads of coendomorphisms and fractal $omega$-operads for higher structures [PDF]
Categories and General Algebraic Structures with Applications, 2015 In this article we introduce the notion of textit{Fractal $omega$-operad} emerging from a natural $omega$-operad associated to any coglobular object in the category of higher operads in Batanin's sense, which in fact is a coendomorphism $omega$-operads.
Camell Kachour
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Operads of higher transformations for globular sets and for higher magmas [PDF]
Categories and General Algebraic Structures with Applications, 2015 In this article we discuss examples of fractal $omega$-operads. Thus we show that there is an $omega$-operadic approach to explain existence of the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French ...
Camell Kachour
doaj +1 more source
A graphical category for higher modular operads [PDF]
Advances in Mathematics, 2020 We present a homotopy theory for a weak version of modular operads whose compositions and contractions are only defined up to homotopy. This homotopy theory takes the form of a Quillen model structure on the collection of simplicial presheaves for a certain category of undirected graphs.
Hackney, Philip +2 more
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From operator categories to higher operads [PDF]
Geometry & Topology, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The homotopy theory of simplicial props [PDF]
, 2016 The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on "higher props," we show that the category of all small colored simplicial props ...
A. Joyal +40 more
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An operadic proof of Baez-Dolan stabilization hypothesis [PDF]
, 2016 We prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results.Comment: 14 pages, the paper is now in ...
Batanin, Michael
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Box operads and higher Gerstenhaber brackets
, 2023 22 pages + 8 appendix.
Van, Hoang Dinh +2 more
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A model structure for coloured operads in symmetric spectra [PDF]
, 2010 We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences are defined at the level of the underlying collections.
A.D. Elmendorf +16 more
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