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Compute homology groups using Mayer-Vietoris sequence

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#algebraic-topology #homology-cohomology #homological-algebra
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Homologous cycle

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#algebraic-topology #homology-cohomology
605
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Proof of Serre Duality in Hartshorne

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#algebraic-geometry #homology-cohomology #sheaf-cohomology
352
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Differences in Homology/Cohomology of a CW Pair (X,A) when A is empty versus a point

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#algebraic-topology #homology-cohomology
443
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cohomology of $\mathbb{CP}^n$ and $\mathbb{RP}^m$

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#differential-geometry #algebraic-topology #homology-cohomology #geometric-topology #characteristic-classes
908
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$2$-torsion subgroup of $M$ v.s. $M/(2M)$

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#group-theory #algebraic-topology #homology-cohomology #torsion-groups
1.1k
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how to compute the homology groups of graphs?

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#algebraic-topology #homology-cohomology
424
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Natural isomorphism of homology theories that factors through Comp

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#reference-request #algebraic-topology #category-theory #homology-cohomology
755
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How to compute homology groups of $S^n$ using excision theorem?

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#algebraic-topology #homology-cohomology
1.2k
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Induced isomorphism by Homotopy equivalence

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#homology-cohomology
34
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Mayer–Vietoris and powers

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#homology-cohomology
39
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Comparison of cohomologies of spaces over fields.

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#field-theory #homology-cohomology
1.4k
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Characteristic classes of spheres

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#differential-geometry #algebraic-topology #differential-topology #homology-cohomology #characteristic-classes
814
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Showing that a group ring is isomorphic to a tensor product

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#abstract-algebra #modules #homology-cohomology #homological-algebra
68
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Connecting homomorphism and fibre transfer

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#homology-cohomology #fiber-bundles #spectral-sequences

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