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The multitopic ω–category of all multitopic ω–categories by M. Makkai (McGill University) September 2, 1999; corrected: June 5, 2004 Introduction. Despite its considerable length, this paper is only an announcement. It gives two definitions: that of "multitopic ω-category", and that of "the (large) multitopic set of all (small) multitopic ω-categories". It also announces the theorem that the latte
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