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Path categories and quasi-categories (1909.08419v1)
Published 18 Sep 2019 in math.CT and math.AT
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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