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arxiv: 1508.02069 · v3 · pith:UBSFUMGNnew · submitted 2015-08-09 · 🧮 math.AG

Geometric higher groupoids and categories

classification 🧮 math.AG
keywords highercategoriescategorygroupoidsalgebraalgebraiccoversdefined
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In an enriched setting, we show that higher groupoids and higher categories form categories of fibrant objects. The nerve of a differential graded algebra is a higher category in the category of algebraic varieties, where covers are defined to be smooth epimorphisms.

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