Newbetuts
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New posts in homology-cohomology
Intuitive interpration of the Thom isomorphism and relative cohomology
differential-geometry
algebraic-topology
homology-cohomology
characteristic-classes
Calculate Bockstein homomorphism
algebraic-topology
homology-cohomology
Why is cohomology the direct product of the $H^n$?
algebraic-topology
homology-cohomology
direct-sum
graded-rings
direct-product
Poincaré duality for de Rham cohomology on non-compact manifolds
differential-geometry
algebraic-topology
homology-cohomology
de-rham-cohomology
poincare-duality
Can we see directly from the cocycle condition that 2-cocycles are symmetric?
group-theory
finite-groups
homological-algebra
homology-cohomology
group-cohomology
Homology of a co-h-space manifold
algebraic-topology
manifolds
homology-cohomology
Skew symmetry of indices in cocycles of Cech cohomology
homology-cohomology
sheaf-cohomology
Question about mapping cones in homology theory
algebraic-topology
homology-cohomology
homological-algebra
Computing the homology of genus $g$ surface, using Mayer-Vietoris
algebraic-topology
homology-cohomology
homological-algebra
Isomorphism in cohomology is an isomorphism in homology
algebraic-topology
homological-algebra
homology-cohomology
Manifold without point homotopy equivalent to wedge of $2$-spheres.
general-topology
algebraic-topology
manifolds
homology-cohomology
homotopy-theory
Wedge sum of spheres is the quotient $X^n/X^{n-1}$
category-theory
homology-cohomology
homological-algebra
cw-complexes
Simplicial Cup Product and Orientability.
homology-cohomology
How do you compute group cohomology in practice?
group-theory
big-list
homology-cohomology
computer-algebra-systems
group-cohomology
Exercise 1.1.3 in Charles Weibel’s book “An Introduction to Homological Algebra”
vector-spaces
homological-algebra
homology-cohomology
Intuition behind the Thom Isomorphism.
general-topology
algebraic-topology
differential-topology
homology-cohomology
characteristic-classes
Exercise in Spanier to get universal coefficient theorem for cohomology with local coefficients
algebraic-topology
homology-cohomology
homological-algebra
Equality of rank for homology and cohomology groups via the universal coefficient theorem
algebraic-topology
abelian-groups
homology-cohomology
Does there exist a CW complex with prescribed fundamental group and trivial higher homology?
algebraic-topology
homology-cohomology
fundamental-groups
A problem on algebraic topology.
algebraic-topology
homology-cohomology
homotopy-theory
higher-category-theory
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