Spans in 2-Categories: A monoidal tricategory

Details Spans in 2-Categories: A monoidal tricategory Spans in 2-Categories: A monoidal tricategory

2011-12-02

arxiv.org/abs/1112.0560v1

Mathematics

Category Theory

96 pages

Scientific paper

We present Trimble's definition of a tetracategory and prove that the spans
in (strict) 2-categories with certain limits have the structure of a monoidal
tricategory, defined as a one-object tetracategory. We recall some notions of
limits in 2-categories for use in the construction of the monoidal tricategory
of spans.

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