Ara, Dimitri and Cisinski, Denis-Charles and Moerdijk, Ieke (2019) The dendroidal category is a test category. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 167 (1). pp. 107-121. ISSN 0305-0041, 1469-8064
Full text not available from this repository. (Request a copy)Abstract
We prove that the category of trees Omega is a test category in the sense of Grothendieck. This implies that the category of dendroidal sets is endowed with the structure of a model category Quillen-equivalent to spaces. We show that this model category structure, up to a change of cofibrations, can be obtained as an explicit left Bousfield localisation of the operadic model category structure.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Denis-Charles Cisinski |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Apr 2020 05:13 |
| Last Modified: | 27 Apr 2020 05:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26781 |
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