Cofree
Definition, Meaning & Examples
Part of speech adjective
Quick meaning: Cofree is an adjective meaning (category theory, of a functor F) Right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).
Meaning
(category theory, of a functor F) Right adjoint to a forgetful functor G; such that any map f:G(A)→X induces a universal map ̄f:A→F(X).
More Meanings
- (category theory, of an object) Belonging to the image of some cofree functor.
- (mathematics) The dual of a free structure.
Example Sentences
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.
Related Words
Related dictionary entries include cofibrant, cohyponormal, cubefree, squarefreed, cocommutative, coherent.
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Sources & Attribution
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