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Relative left properness of colored operads
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 3
2016 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 16, no 5, 2691-2714 p.Article in journal (Refereed) Published
Abstract [en]

The category of C-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 Sigma-cofibrant operads is closed under cobase change along cofibrations. We also provide an example of Dwyer which shows that the model structure on C-colored symmetric operads is not left proper.

Place, publisher, year, edition, pages
2016. Vol. 16, no 5, 2691-2714 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-140456DOI: 10.2140/agt.2016.16.2691ISI: 000392712100008OAI: oai:DiVA.org:su-140456DiVA: diva2:1079510
Available from: 2017-03-08 Created: 2017-03-08 Last updated: 2017-03-08Bibliographically approved

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