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New posts in homology-cohomology
Different ways of representing a second cohomology class
algebraic-topology
homology-cohomology
characteristic-classes
Euler characteristic of a covering space
algebraic-topology
homology-cohomology
Toy sheaf cohomology computation
algebraic-geometry
algebraic-topology
homology-cohomology
What is the homological connectivity of the complete abstract simplicial complex?
homology-cohomology
simplicial-complex
In what sense is $p$-adic Hodge theory related to ordinary (complex) Hodge theory?
algebraic-geometry
homology-cohomology
hodge-theory
galois-representations
etale-cohomology
Isomorphism not natural in $X$?
general-topology
algebraic-topology
solution-verification
homology-cohomology
natural-transformations
Interpretation of vanishing of cohomology groups
lie-algebras
homology-cohomology
group-cohomology
galois-cohomology
hochschild-cohomology
Why Cohomology Groups?
geometry
algebraic-geometry
algebraic-topology
homology-cohomology
Integral classes in de Rham cohomology
general-topology
algebraic-topology
homology-cohomology
The First Homology Group is the Abelianization of the Fundamental Group.
algebraic-topology
homology-cohomology
fundamental-groups
Homology Whitehead theorem for non simply connected spaces
reference-request
algebraic-topology
homology-cohomology
covering-spaces
What is the difference between $\ell$-adic cohomology and cohomology with coefficient in $Z_\ell$?
algebraic-geometry
homology-cohomology
sheaf-theory
etale-cohomology
Does taking the direct limit of chain complexes commute with taking homology?
category-theory
homological-algebra
homology-cohomology
No map $\mathbb{C}P^n \rightarrow \mathbb{C}P^m$ inducing a nontrivial map $H^2(\mathbb{C}P^m;\mathbb{Z}) \rightarrow H^2(\mathbb{C}P^n;\mathbb{Z})$
algebraic-topology
homology-cohomology
projective-space
Does trivial cohomology imply trivial homology? Does $\operatorname{Hom}(A,\mathbb Z) = \operatorname{Ext}^1(A, \mathbb Z) = 0$ imply $A = 0$?
algebraic-topology
homological-algebra
homology-cohomology
Homology of disjoint union is direct sum of homologies
algebraic-topology
homology-cohomology
Why is there "no analogue of $2i\pi$ in $\mathbf C_p$"?
number-theory
algebraic-geometry
integration
homology-cohomology
p-adic-number-theory
Topological vs. Algebraic $K$-Theory
algebraic-topology
homology-cohomology
c-star-algebras
topological-k-theory
algebraic-k-theory
How do I know when a form represents an integral cohomology class?
differential-geometry
manifolds
homology-cohomology
References for calculating cohomology rings
reference-request
algebraic-topology
homology-cohomology
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