Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalized Blakers-Massey Theorem   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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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex