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Type theory and homotopy

Published 9 Oct 2010 in math.CT and math.LO | (1010.1810v1)

Abstract: The purpose of this survey article is to introduce the reader to a connection between Logic, Geometry, and Algebra which has recently come to light in the form of an interpretation of the constructive type theory of Martin-L\"of into homotopy theory, resulting in new examples of higher-dimensional categories.

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