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Longer titles found: Čech-to-derived functor spectral sequence (view)

searching for Derived functor 6 found (44 total)

Quillen adjunction (326 words) [view diff] exact match in snippet view article find links to article

total derived functor theorem of Quillen says that the total left derived functor LF: Ho(C) → Ho(D) is a left adjoint to the total right derived functor RG:

Derived tensor product (449 words) [view diff] exact match in snippet view article find links to article

homotopy category (i.e., derived category). By definition, it is the left derived functor of the tensor product functor − ⊗ A − : M A × A M → R M {\displaystyle

Cotriple homology (332 words) [view diff] exact match in snippet view article find links to article

homology of E ( F U ∗ M ) {\displaystyle E(FU_{*}M)} is the n-th left derived functor of E evaluated at M; i.e., Tor n R ⁡ ( M , N ) {\displaystyle \operatorname

Bousfield localization (866 words) [view diff] exact match in snippet view article find links to article

left derived functor sends all morphisms in C to weak equivalences. Any left Quillen functor M → N {\displaystyle M\to N} whose left derived functor sends

Verdier duality (1,503 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f\colon X\to Y} of locally compact Hausdorff spaces, the derived functor of the direct image with compact (or proper) supports R f ! {\displaystyle

Glossary of commutative algebra (9,767 words) [view diff] exact match in snippet view article find links to article

inverse system of modules that ensures the vanishing of the first derived functor of the inverse limit. modular system An archaic term for an ideal monomial