Weak omega-categories

Ross Street (5/9/01)

Recently I have revisited my original approximation to a definition of "weak omega-category" (as a simplicial set with extra structure) trying to remember some of the things I have thought of since those days. The main thing I want to report is a method of constructing the thin elements from the mere simplicial set so that being a weak omega-category becomes a property of a simplicial set rather than involving extra structure. I have many conjectures.

For more details, see my preprint of the same title.

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Steve Lack

Last modified: Tue Sep 4 16:47:41 EST 2001