## Weak equivalences between weak omega-categories

### Soichiro Fujii – 1 November 2023

Leinster defined weak omega-categories based on an earlier definition by Batanin. We define weak equivalences between weak omega-categories (in the sense of Leinster) as essentially surjective strict omega-functors, and show that the class of weak equivalences satisfies the 2-out-of-3 property. (Joint work with Keisuke Hoshino and Yuki Maehara.)

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