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A modern perspective on rational homotopy theory

Published 29 May 2025 in math.AT and math.CT | (2505.23322v1)

Abstract: In Quillen's paper on rational homotopy theory, the category of 1-reduced simplicial sets is endowed with a family of model structures, the most prominent of which is the one whose weak equivalences are the rational homotopy equivalences. In this paper, we give a modern approach to this family of model structures.

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