decategorification

The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal.

Noun

  1. The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal.
    • For the n-levels systems approach we may associate categorification with increasing the level and decategorification with decreasing the level of complexity. - 2013, Octavian Iordache, Polytope Projects, →ISBN, page 6:

Origin

From de- + categorification.

Forms

decategorifications