Cubical Models of $(\infty ,1)$-Categories (Memoirs of the American Mathematical Society)

$Cubical Models of $(\infty ,1)$-Categories (Memoirs of the American Mathematical Society)$

Cubical Models of $(\infty ,1)$-Categories (Memoirs of the American Mathematical Society)

Doherty, Brandon/ Kapulkin, Krzysztof/ Lindsey, Zachery

American Mathematical Society（2024/07発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 110 p.
言語 ENG
商品コード 9781470468941
DDC分類 514.24

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Introduction
1. Cubical sets and marked cubical sets
2. Model structure on marked cubical sets
3. Model structure on structurally marked cubical sets
4. Joyal model structure on cubical sets
5. Cones in cubical sets
6. Comparison with the Joyal model structure
7. Mapping spaces in cubical quasicategories
A. Verification of identities on $\theta $