Word.ws English Dictionary

cofree

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

Adjective

cofree (not comparable)

  1. Right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).
  2. Belonging to the image of some cofree functor.
  3. The dual of a free structure.
    • Our method relies on both the geometric and the algebraic aspects of the problem: the complete geometric description of the cohomology of Brown's moduli spaces and the coradical filtration of cofree cooperads.2015, Clément Dupont, Bruno Vallette, “Brown's moduli spaces of curves and the gravity operad”, in arXiv

Origin of cofree

From co- + free.

Words formed from cofree

Questions about cofree

What does cofree mean?
Cofree means right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).
What part of speech is cofree?
Cofree is an adjective.

Words near cofree in the dictionary

  1. cofractionating
  2. cofractionation
  3. cofractionations
  4. coframe
  5. coframes
  6. cofree
  7. cofreeness
  8. COFs
  9. Cofton Hackett
  10. cofunction
  11. cofunctional

Source and license

Adapted from Wiktionary: cofree (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.

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Cite this entry: “cofree.” Word.ws, https://word.ws/cofree. Based on Wiktionary, CC BY-SA 4.0.