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arxiv: 1403.3042 · v2 · pith:Z4XOPUWEnew · submitted 2014-03-12 · 🧮 math.AT · math.CT

The accessibility rank of weak equivalences

G. Raptis , J. Rosick\'y This is my paper
classification 🧮 math.AT math.CT
keywords equivalencesweakaccessibilityrankaccessiblecategoryclasscofibrations
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We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible.

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