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Register a new userOn the equivalence between $Theta_{n}$-spaces and iterated Segal spaces
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Rune Haugseng
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We give a new proof of the equivalence between two of the main models for $(infty,n)$-categories, namely the $n$-fold Segal spaces of Barwick and the $Theta_{n}$-spaces of Rezk, by proving that these are algebras for the same monad on the $infty$-category of $n$-globular spaces. The proof works for a broad class of $infty$-categories that includes all $infty$-topoi.
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