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arXiv · 1010.1810

Type theory and homotopy

Steve Awodey
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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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Steve Awodey. 2010-10-09. Type theory and homotopy. https://arxiv.org/abs/1010.1810

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