---
date: 2021-10-11 17:52
modification date: Monday 18th October 2021 13:13:35
title: higher category
aliases: [higher category, higher algebra]

---

Tags:  
#resources #todo/learning  #higher-algebra #higher-algebra/infty-cats #todo/learning 

References:

-   Cisinski: Higher categories and homotopical algebra (available [here](http://www.mathematik.uni-regensburg.de/cisinski/CatLR.pdf))
-   Haugseng: Introduction to ∞-categories (lecture notes, available [here](https://www.dropbox.com/s/16s635okof2z5cc/icat_web.pdf?dl=1))
-   Joyal: Notes on Quasicategories (available [here](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=2ahUKEwjq8Ieh1djlAhXCGewKHd8gArUQFjAAegQIABAC&url=https%3A%2F%2Fwww.math.uchicago.edu%2F~may%2FIMA%2FJoyal.pdf&usg=AOvVaw2CEpBJ7rUuOR8VBHCRumij))
-   Joyal: The theory of quasi-categories and its applications (available [here](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=6&ved=2ahUKEwj-l6qa19jlAhXS-KQKHbZhAZcQFjAFegQIBBAC&url=http%3A%2F%2Fmat.uab.cat%2F~kock%2Fcrm%2Fhocat%2Fadvanced-course%2FQuadern45-2.pdf&usg=AOvVaw3RX_sRPRDjFDlTUPo4oYN2))
-   Land: Introduction to infinity-categories (lecture notes, available [here](http://www.math.uni-bonn.de/people/fhebestr/HigherCats2/Land-script.pdf))
-   Lurie: Higher Topos theory (available [here](http://www.math.harvard.edu/~lurie/papers/HTT.pdf))
-   Lurie: Kerodon (Wiki, available [here](https://kerodon.net/))
-   Riehl: Categorical Homotopy Theory (available [here](http://www.math.jhu.edu/~eriehl/cathtpy.pdf))

Links:
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# higher category

- [(n, m) category]((n,%20m)%20category)

![](attachments/image_2021-03-25-00-42-39.png)