Globular multicategories with homomorphism types

Globular multicategories with homomorphism types

We introduce various notions of globular multicategory with homomorphism types. We develop a higher dimensional modules construction that constructs globular multicategories with strict homomorphism types. We illustrate how this construction is related to iterated enrichment. We show how various col...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Dean, CJ
Бусад зохиолчид: Kremnitzer, Y
Формат: Дипломын ажил
Хэл сонгох:English
Хэвлэсэн: 2022
Нөхцлүүд:
Dependent Type theory
Categories (Mathematics)
Тодорхойлолт
Тойм:We introduce various notions of globular multicategory with homomorphism types. We develop a higher dimensional modules construction that constructs globular multicategories with strict homomorphism types. We illustrate how this construction is related to iterated enrichment. We show how various collections of “higher category-like”objects give rise to globular multicategories with homomorphism types. We show how these structures suggest a new globular approach to the semantics of (directed) homotopy type theory.

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