The homotopy theory of simplicial props

Philip Hackney; Marcy Robertson

doi:10.1007/s11856-017-1500-4

The homotopy theory of simplicial props

Philip Hackney, Marcy Robertson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on 'higher props,' we show that the category of all small colored simplicial props admits a cofibrantly generated model category structure. With this model structure, the forgetful functor from props to operads is a right Quillen functor.

Original language	English
Pages (from-to)	835-902
Number of pages	68
Journal	Israel Journal of Mathematics
Volume	219
Issue number	2
DOIs	https://doi.org/10.1007/s11856-017-1500-4
Publication status	Published - 2017

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abstract = "The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on 'higher props,' we show that the category of all small colored simplicial props admits a cofibrantly generated model category structure. With this model structure, the forgetful functor from props to operads is a right Quillen functor.",

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