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A Generalized Blakers-Massey Theorem

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arxiv 1703.09050 v5 pith:3RFPQCTB submitted 2017-03-27 math.AT math.CT

Mathieu Anel , Georg Biedermann , Eric Finster , André Joyal This is my paper · ORCID
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keywords arbitraryblakers-masseyclassicalgeneralizationtheorembasechachchange
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We prove a generalization of the classical connectivity theorem of Blakers-Massey, valid in an arbitrary higher topos and with respect to an arbitrary modality, that is, a factorization system (L,R) in which the left class is stable by base change. We explain how to rederive the classical result, as well as a recent generalization by Chach\'olski-Scherer-Werndli. Our proof is inspired by the one given in Homotopy Type Theory.

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Cited by 1 Pith paper

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  1. Good Fibrations through the Modal Prism

    math.CT 2019-08 accept novelty 7.0 of 10

    A new notion of modal fibration is introduced and characterized by locally constant modal fibers, yielding new synthetic proofs of the fundamental group of the circle, Hopf fibrations, and covering space theory.

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