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...

Szczegółowa specyfikacja

Opis bibliograficzny
1. autor: Dean, CJ
Kolejni autorzy: Kremnitzer, Y
Format: Praca dyplomowa
Język:English
Wydane: 2022
Hasła przedmiotowe:
Dependent Type theory
Categories (Mathematics)
Opis
Streszczenie: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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