Definition of Categorification. Meaning of Categorification. Synonyms of Categorification

Here you will find one or more explanations in English for the word Categorification. Also in the bottom left of the page several parts of wikipedia pages related to the word Categorification and, of course, Categorification synonyms and on the right images related to the word Categorification.

Definition of Categorification

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Meaning of Categorification from wikipedia

- In mathematics, categorification is the process of replacing set-theoretic theorems with category-theoretic analogues. Categorification, when done successfully...
- arises as the cohomology of a cochain complex. It may be regarded as a categorification of the Jones polynomial. It was developed in the late 1990s by Mikhail...
- Khovanov homology for links, which was one of the first examples of categorification. Khovanov graduated from Moscow State School 57 mathematical class...
- Mathematics portal Higher-dimensional algebra General abstract nonsense Categorification Coherency (homotopy theory) Lurie, Jacob. Higher Topos Theory (PDF)...
- loosen the stricter restriction of the function. Please refer to the Categorification and cosheaves and Impact on mathematics sections for more information...
- 04.003, S2CID 53304001 Helme-Guizon, Laure; Rong, Yongwu (2005), "A categorification of the chromatic polynomial", Algebraic & Geometric Topology, 5 (4):...
- examples. Every (small) monoidal category may also be viewed as a "categorification" of an underlying monoid, namely the monoid whose elements are the...
- Derived symplectic structures in generalized Donaldson–Thomas theory and categorification. In September 2018, she set a new UCI Women's hour record, riding 48...
- Key concepts Categorification Enriched category Higher-dimensional algebra Homotopy hypothesis Model category Simplex category String diagram Topos n-categories...
- Key concepts Categorification Enriched category Higher-dimensional algebra Homotopy hypothesis Model category Simplex category String diagram Topos n-categories...