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This article is available for purchase or by subscription. See below.
Associahedra and weak
monoidal structures on categories
Zbigniew Fiedorowicz, Steven Gubkin and Rainer M Vogt |
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Algebraic & Geometric Topology 12 (2012) 469–492
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Abstract |
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This paper answers the following question: what algebraic structure on a category corresponds to an structure (in the sense of Stasheff) on the geometric realization of its nerve? |
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Keywords
associahedra, monoidal category, operad, Tamari lattice
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Mathematical Subject Classification 2000
Primary: 18D10, 55P48
Secondary: 06A07
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References |
Publication
Received: 3 June 2010
Revised: 7 November 2011
Accepted: 27 November 2011
Published: 20 March 2012
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Authors |
| Zbigniew Fiedorowicz | |
| Department of Mathematics Ohio State University Columbus OH 43210-1174 USA |
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| http://www.math.osu.edu/~fiedorowicz.1/ | |
| Steven Gubkin | |
| Department of Mathematics Ohio State University Columbus OH 43210-1174 USA |
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| http://www.math.osu.edu/people/gubkin/view | |
| Rainer M Vogt | |
| Fachbereich
Mathematik/Informatik Universität Osnabrück Albrechtstr. 28a D-49069 Osnabrück Germany |
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