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New posts in exact-sequence
Reconciling different definitions of left-exact functor
category-theory
exact-sequence
Semidirect product action and its geometry
group-theory
group-actions
exact-sequence
semidirect-product
Long exact sequence in homology: naturality=functoriality?
homological-algebra
exact-sequence
How exact is the functor "tensoring with a locally free sheaf"
algebraic-geometry
sheaf-theory
exact-sequence
Question 43 in section 2.2 of Hatcher's Algebraic Topology
algebraic-topology
homological-algebra
exact-sequence
Equivalent characterizations of faithfully exact functors of abelian categories
abstract-algebra
category-theory
abelian-categories
exact-sequence
Show the direct sum of noetherian R-modules is noetherian.
abstract-algebra
ring-theory
modules
exact-sequence
direct-sum
What is the most general category in which exist short exact sequences?
category-theory
exact-sequence
abelian-categories
Deriving the long exact sequence of a pair $(X,A)$ from the Mayer-Vietoris sequence
general-topology
algebraic-topology
homology-cohomology
exact-sequence
mayer-vietoris-sequence
Second homotopy group of real Grassmannians $\textrm{Gr}(n,m)$, special case $n=m=2$ not clear.
general-topology
algebraic-topology
homotopy-theory
exact-sequence
grassmannian
A short exact sequence of groups and their classifying spaces
reference-request
algebraic-topology
topological-groups
fibration
exact-sequence
How to prove surjectivity part of Short Five Lemma for short exact sequences.
abstract-algebra
modules
exact-sequence
Why the rightmost square is a pullback?
category-theory
exact-sequence
abelian-categories
pullback
Uniqueness of the connecting morphism in the snake lemma
category-theory
homological-algebra
exact-sequence
Splitting of the tangent bundle of a vector bundle and connections
differential-geometry
vector-bundles
exact-sequence
connections
Long exact sequence into short exact sequences
category-theory
homological-algebra
abelian-categories
exact-sequence
Proof that the Euler characteristic is additive
algebraic-topology
exact-sequence
Further Question on Showing Split SES
abstract-algebra
group-theory
exact-sequence
$M' \to M \to M'' \to 0$ exact $\implies 0\to \text{Hom}(M'',N) \to \text{Hom}(M,N) \to \text{Hom}(M',N)$ is exact.
abstract-algebra
modules
exact-sequence
If $G$ is abelian such that $mG=G$ for some $m\in\Bbb{Z}$ then every short exact sequence splits
abstract-algebra
group-theory
homology-cohomology
abelian-groups
exact-sequence
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