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arXiv · 1909.08419

Path categories and quasi-categories

J. F. Jardine
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Abstract

This paper gives an introduction to the homotopy theory of quasi-categories. Weak equivalences between quasi-categories are characterized as maps which induce equivalences on a naturally defined system of groupoids. These groupoids effectively replace higher homotopy groups in quasi-category homotopy theory.

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J. F. Jardine. 2019-09-18. Path categories and quasi-categories. https://arxiv.org/abs/1909.08419

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