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Relative left
properness of colored operads
Philip Hackney, Marcy Robertson and Donald Yau |
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Algebraic & Geometric Topology 16 (2016) 2691–2714
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Abstract |
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The category of –colored symmetric operads admits a cofibrantly generated model category structure. In this paper, we show that this model structure satisfies a relative left properness condition, ie that the class of weak equivalences between –cofibrant operads is closed under cobase change along cofibrations. We also provide an example of Dwyer which shows that the model structure on –colored symmetric operads is not left proper. |
Keywords
operads, model categories, left proper
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Mathematical Subject Classification 2010
Primary: 18D50, 55U35
Secondary: 18G55, 55P48, 18D20
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References |
Publication
Received: 1 December 2014
Revised: 9 December 2015
Accepted: 1 February 2016
Published: 7 November 2016
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Authors |
| Philip Hackney | |
| Department of Mathematics Stockholm University SE-106 91 Stockholm Sweden |
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| Marcy Robertson | |
| School of Mathematics and
Statistics University of Melbourne Melbourne ACT 3010 Australia |
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| Donald Yau | |
| Department of Mathematics The Ohio State University at Newark Newark, OH 43055 United States |
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