Cubical Models of $(/infty ,1)$-Categories

Brandon Doherty, Krzysztof Kapulkin, Zachery Lindsey, Christian Sattler (Autoren)

Buch | Softcover

110 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-6894-1 (ISBN)

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Featuring peer-reviewed scholarship spanning pure and applied mathematics, this series showcases extensive collections of related research papers assembled in book form. Overseen by the AMS Transactions Editorial Committee, these works offer detailed insights and robust analysis to the mathematical community.

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.

Brandon Doherty, University of Western Ontario, London, Ontario, Canada, Krzysztof Kapulkin, University of Western Ontario, London, Ontario, Canada.

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 $

Erscheinungsdatum	22.08.2024
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-6894-8 / 1470468948
ISBN-13	978-1-4704-6894-1 / 9781470468941
Zustand	Neuware