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Globular Multicategories with Homomorphism Types

Published 28 May 2020 in math.CT, cs.LO, and math.LO | (2005.14104v1)

Abstract: We introduce a notion of globular multicategory with homomorphism types. These structures arise when organizing collections of "higher category-like" objects such as type theories with identity types. We show how these globular multicategories can be used to construct various weak higher categorical structures of types and terms.

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