Relative left properness of colored operads

Philip Hackney*, Marcy Robertson, Donald Yau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2691-2714
Number of pages24
JournalAlgebraic and Geometric Topology
Issue number5
Publication statusPublished - 2016
Externally publishedYes


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