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...

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Detalhes bibliográficos
Autor principal: Dean, CJ
Outros Autores: Kremnitzer, Y
Formato: Thesis
Idioma:English
Publicado em: 2022
Assuntos:
Dependent Type theory
Categories (Mathematics)
Descrição
Resumo: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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