# Definition of general $\infty$-categories

I'm not really aware of the literature, so could you please tell me if there has already been proposed an easy to formulate, intuitive, natural definition of the idea of a general $\infty$-category, containing as special cases the theories of $(\infty,n)$-categories?

I know about the nLab ( - of course - ), but didn't find what I was looking for.

Thank you, Daniel G.

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Leinster discusses six definitions of $\omega$-category in this 2002 paper, amongst definitions of weak $n$-category. –  Zhen Lin Aug 4 '12 at 15:01
You should maybe have a look at the work of Verity. He uses simplicial sets with a certain subset to model $\infty$-categories. –  Thomas Nikolaus Sep 29 '12 at 7:16
Hello again. I finally uploaded an article describing my definition of a (general) $\infty$-category to arXiv; it will be available as of tomorrow. Please look at it, and tell me if it is correct; I hope it is ... –  Rooibos Tee Nov 19 '12 at 18:59
Here is a link: arxiv.org/abs/1211.4401 –  Rooibos Tee Nov 25 '12 at 13:15
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