On the definition of weak n-categories

Michael Batanin – 31 July 1996

We give a general definition of weak n-category for every n (including infinity). In the first lecture a notion of an n-span, which is a higher dimensional generalisation of the notion of the span is introduced and some of the necessary properties of the n-spans are considered. The definition of weak n-category will be given at the next seminar.

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