Homology, Homotopy and Applications
Volume 15 (2013)
$n$-relative categories: a model for the homotopy theory of $n$-fold homotopy theories
Pages: 281 – 300
We introduce, for every integer $n \geq 1$, the notion of an $n$-relative category and show that the category of the small $n$-relative categories is a model for the homotopy theory of $n$-fold homotopy theories, i.e., homotopy theories of… homotopy theories.
relative category, $n$-relative category, higher category
2010 Mathematics Subject Classification