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New posts in derived-functors
When should one learn about $(\infty,1)$-categories?
algebraic-topology
homotopy-theory
derived-functors
higher-category-theory
stable-homotopy-theory
Motivation for Definition of Derived Category
category-theory
homological-algebra
abelian-categories
derived-functors
What does $Tor^{R}_n(M,N)$ represent?
algebraic-geometry
homological-algebra
derived-functors
Derived functors of torsion functor
commutative-algebra
homological-algebra
abelian-categories
derived-functors
Derived functor of a derived functor
homological-algebra
derived-functors
Hyper-derived functors and Cartan-Eilenberg resolutions
homology-cohomology
homological-algebra
derived-functors
Why is the definition of $\lim^1$ via a cokernel the first derived functor of $\lim$?
homological-algebra
derived-functors
Fully faithful and essentially surjective is an equivalence
category-theory
derived-functors
adjoint-functors
Ext between two coherent sheaves
algebraic-geometry
homological-algebra
derived-functors
What is a concrete example of why one wants to have a *derived category* in algebraic geometry?
algebraic-geometry
category-theory
derived-functors
fully faithfulness of the direct image, but on $\text{Ext}^1$
algebraic-geometry
complex-geometry
derived-functors
Are those two ways to relate Extensions to Ext equivalent?
modules
homological-algebra
derived-functors
Homological methods in algebraic geometry
algebraic-geometry
reference-request
category-theory
homological-algebra
derived-functors
Meaning of "efface" in "effaceable functor" and "injective effacement"
terminology
homology-cohomology
abelian-categories
derived-functors
Long exact sequence in cohomology associated to a short exact sequence of *functors*
homological-algebra
derived-functors
What is the Tor functor?
commutative-algebra
modules
homological-algebra
derived-functors
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