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...

Полное описание

Библиографические подробности
Главный автор: Dean, CJ
Другие авторы: Kremnitzer, Y
Формат: Диссертация
Язык:English
Опубликовано: 2022
Предметы:
Dependent Type theory
Categories (Mathematics)
Описание
Итог: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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