cofree

C3O1F4R1E1E1

adjective

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

Scrabble 11
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

adjectivecofree (not comparable)
  1. not comparablecategory theoryRight adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).
  2. not comparablecategory theoryBelonging to the image of some cofree functor.
  3. not comparablemathematicsThe 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

From co- + free.

Full word history & related roots →
Cite this entry
APA

cofree. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/cofree

MLA

“cofree.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/cofree. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “cofree,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/cofree.

Source: cofree on Wiktionary, CC BY-SA 4.0.