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Results tagged with higher-category-theory
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user 1306
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
6
votes
Who introduced the notion of 2-categories?
Following the comment of varkor, I re-opened Catégories structurées of Charles Ehresmann (published 1963), and I believe that Section 4 "Catégories doubles" and Section 5 "Catégories $n$-uples" give t …
- 16.9k
2
votes
What is a Homotopy between $L_\infty$-algebra morphisms II
First of all, you might want to look at the MO question How to define the equivalence of Maurer-Cartan elements in an $L_\infty$-algebra?, since of course this is effectively what you need (morphisms …
- 16.9k
11
votes
Higher categories in logic
To elaborate on Peter Arndt's answer a bit: indeed, considering terms as 1-cells and rewriting rules as 2-cells, you can indeed obtain a rather productive higher categorical view on various constructi …
- 16.9k