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New posts in homology-cohomology
When is a map essential in Čech cohomology?
algebraic-topology
homology-cohomology
Defining homology groups directly from the topology
reference-request
algebraic-topology
homology-cohomology
Does every Poisson bracket on a commutative algebra come from a second-order deformation?
abstract-algebra
homology-cohomology
deformation-theory
Homology of orientable surface of genus $g$
algebraic-topology
surfaces
homology-cohomology
cw-complexes
(weak) homotopy equivalence
algebraic-topology
homotopy-theory
homology-cohomology
stable-homotopy-theory
Sheaf cohomology intuition
intuition
homology-cohomology
sheaf-theory
sheaf-cohomology
Simply-connected $\mathbb{Z}_p$-homology spheres?
algebraic-topology
homology-cohomology
homology-sphere
Do we distinguish two singular simplices if they have different vertex orders?
algebraic-topology
homology-cohomology
simplex
simplicial-stuff
history and/or motivation for cohomology in class field theory
algebraic-number-theory
homology-cohomology
class-field-theory
Picard group and cohomology
algebraic-geometry
homology-cohomology
Local Degree of a map between n-spheres
algebraic-topology
homology-cohomology
Hyper-derived functors and Cartan-Eilenberg resolutions
homology-cohomology
homological-algebra
derived-functors
Prove that $\frac{H_1(\Sigma)}{[\alpha_1], \ldots, [\alpha_g], [\beta_1], \ldots, [\beta_g]} \cong H_1(Y)$
algebraic-topology
manifolds
homology-cohomology
low-dimensional-topology
mayer-vietoris-sequence
Which cohomology theories have a formula $\langle \Omega,\text d \omega \rangle = \langle \partial \Omega,\omega \rangle$?
homology-cohomology
On defining homology groups
differential-geometry
algebraic-topology
homology-cohomology
What is the induced orientation on a product of vector spaces in singular cohomology?
algebraic-topology
homology-cohomology
orientation
What's the difference between cohomology theories of varieties and topological spaces
algebraic-geometry
algebraic-topology
homology-cohomology
Is every polynomial with integral coefficients a Poincaré polynomial of a manifold?
general-topology
algebraic-topology
homology-cohomology
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
Why isn't $H^*(\mathbb{R}P^\infty,\mathbb{F}_2)\cong \mathbb{F}_2[[x]]$?
algebraic-topology
homology-cohomology
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