categorification
categorification noun: a procedure that defines theorems in terms of category theory by mapping concepts from set theory to category theory.
Noun
categorification (countable and uncountable, plural categorifications)
- A procedure that defines theorems in terms of category theory by mapping concepts from set theory to category theory.
- In Section 3.4 we have already discussed the question of categorification of the algebra of functions on a homogeneous space like G(F)/K.2008, E. Krenkel, Ramifications of the Geometric Langlands Program, Michael Cowling, Edward Frenkel, Masaki Kashiwara, Alain Valette, David A. Vogan, Jr., Nolan R. Wallach (editors), Representation...
- Show that Φ⊕Φ is also a (naïve) homomorphism of naïve categorifications.2009, Volodymyr Mazorchuk, Lectures on sl₂( C )-Modules, Imperial College Press, page 221
Forms of categorification
| plural | categorifications |
|---|
Origin of categorification
From category + -fication.
Words formed from categorification
- decategorification
- horizontal categorification
- vertical categorification
Questions about categorification
- What does categorification mean?
- Categorification means a procedure that defines theorems in terms of category theory by mapping concepts from set theory to category theory.
- What part of speech is categorification?
- Categorification is a noun.
- What is the plural of categorification?
- The plural of categorification is categorifications.
Words near categorification in the dictionary
Source and license
Adapted from Wiktionary: categorification (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “categorification.” Word.ws, https://word.ws/categorification. Based on Wiktionary, CC BY-SA 4.0.