The accessibility rank of weak equivalences
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tac.mta.ca/tac/volumes/30/19/30-19.pdf |
| Field | General mathematics |
| Keywords | model category; weak equivalence; accessible category |
| Description | We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible. |
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