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Date: 2016
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/1255119
Description: We describe a proof of the Baez-Dolan Stabilization Hypothesis for Rezk's model of weak n-categories. This proof proceeds via abstract homotopy theory, and en route we discuss a version of left Bousfi ... More
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/360473
Description: The purpose of this paper is two-fold. In Part 1 we introduce a new theory of operadic categories and their operads. This theory is, in our opinion, of an independent value. In Part 2 we use this new ... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/269953
Description: In this article we extend the theory of lax monoidal structures, also known as multitensors, and the monads on categories of enriched graphs that they give rise to. Our first principal result - the li ... More
Full Text: Full Text
Reviewed: Reviewed
Date: 2013
Subject Keyword: 010100 Pure Mathematics
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/297977
Description: In this first paper of a series we study various operads of natural operations on Hochschild cochains and relationships between them.
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/195769
Description: We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. The duoidal categories (introduced by Aguiar and Mahajan und ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/165771
Description: One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product. In this paper we begin to adapt the machinery of globu ... More
Reviewed: Reviewed
Authors: Batanin, Michael
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1148424
Description: We introduce a category of locally constant n-operads which can be considered as the category of higher braided operads. For n = 1, 2,∞ the homotopy category of locally constant n-operads is equivalen ... More
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/153163
Description: We give an elementary and direct combinatorial definition of opetopes in terms of trees, well-suited for graphical manipulation and explicit computation. To relate our definition to the classical defi ... More
Reviewed: Reviewed
Authors: Batanin, Michael
Date: 2003
Language: eng
Resource Type: conference paper abstract
Identifier: http://hdl.handle.net/1959.14/1246413
Description: It is well known since Stasheff's work that 1-fold loop spaces can be described in terms of the existence of higher homotopies for associativity (coherence conditions) or equivalently as algebras of c ... More
Date: 2000
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1171094
Description: 11 page(s)
Reviewed: Reviewed
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