TYPES ARE WEAK ω-GROUPOIDS

TYPES ARE WEAK ω-GROUPOIDS (812)

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by Benno Van , Den Berg , Richard Garner

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@MISC{Van812typesare,
    author = {Benno Van and Den Berg and Richard Garner},
    title = {TYPES ARE WEAK ω-GROUPOIDS},
    year = {812}
}

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Abstract

Abstract. We define a notion of weak ω-category internal to a model of Martin-Löf type theory, and prove that each type bears a canonical weak ω-category structure obtained from the tower of iterated identity types over that type. We show that the ω-categories arising in this way are in fact ω-groupoids. 1.

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