(∞, n)-category
Generalization of a category
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In mathematics, especially category theory, an (â, n)-category is a generalization of an â-category, where each k-morphism is invertible for . Thus, an â-category is an (â, 1)-category, while an â-groupoid is an (â, 0)-category.
See also
References
- Loubaton, Félix (2024). "Categorical Theory of (â,Ï)-Categories". arXiv:2406.05425 [math.CT].
- Simpson, Carlos (2011). Homotopy Theory of Higher Categories. arXiv:1001.4071. doi:10.1017/CBO9780511978111. ISBN 978-0-521-51695-2.
- Barwick, Clark; Schommer-Pries, Christopher (2011). "On the Unicity of the Homotopy Theory of Higher Categories". arXiv:1112.0040 [math.AT].
- Lurie, Jacob (2009). "On the Classification of Topological Field Theories". Current Developments in Mathematics. 2008: 129â280. arXiv:0905.0465. doi:10.4310/CDM.2008.v2008.n1.a3.
Further reading
- Bergner, Julia E. (2018). "A survey of models for (â, n)-categories". arXiv:1810.10052 [math.AT].
- "(infinity,n)-category". ncatlab.org.
- (â,n)-category in Japanese
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