Vertically Iterated Classical Enrichment

Details Vertically Iterated Classical Enrichment Vertically Iterated Classical Enrichment

2004-03-12

arxiv.org/abs/math/0403214v1

Mathematics

Category Theory

31 pages; Completes the program begun in Higher Dimensional Enrichment, preprint math.CT/0306086

Scientific paper

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.

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