horizontal categorification
horizontal categorification · horizontal categorifications
The process by which an algebraic structure is first categorified, realising it as a…The process by which an algebraic structure is first categorified, realising it as a one-object category with certain properties, and then categories with those properties (and any number of objects) are studied; also, the result of this process.
Meaning
1 sensesThe process by which an algebraic structure is first categorified, realising it as a one-object category with certain properties, and then categories with those properties (and any number of objects) are studied; also, the result of this process.
The horizontal categorification of a group is a groupoid.
Forms
plural: horizontal categorifications| Singular | horizontal categorification |
|---|---|
| Plural | horizontal categorifications |
regular
Synonyms
1 synonymsoidification