Vertically Iterated Classical Enrichment

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We propose a recursive definition of V-n-categories and their morphisms. We show that for V k-fold monoidal the structure of a (k-n)-fold monoidal strict (n+1)-category is possessed by V-n-Cat. This article is a completion of the work begun in math.CT/0306086, and the initial sections duplicate the beginning of that paper.
31 pages; Completes the program begun in Higher Dimensional Enrichment, preprint math.CT/0306086

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