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arXiv 2015-01-05 0 views

Building the bicategory Span₂(C)

Rebro, Franciscus

Original · EN

Given any category C with pullbacks and a terminal object, we show that the data consisting of the objects of C, the spans of C, and the isomorphism classes of spans of spans of C, forms a bicategory. We denote this bicategory Span₂(C) and show that this construction can be applied to give a bicategory of n-manifolds, cobordisms of those manifolds, and cobordisms of cobordisms.

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