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cofree.

Right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).

6 characters1 syllables approx.English language

Meaning & usage

adj
  1. Right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).

    not-comparable
  2. Belonging to the image of some cofree functor.

    not-comparable
  3. The dual of a free structure.

    not-comparable
Where this word comes from

From co- + free.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.