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...
| Yazar: | |
|---|---|
| Diğer Yazarlar: | |
| Materyal Türü: | Tez |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
2022
|
| Konular: |
| Özet: | 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. |
|---|