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Cohomology theories and sheaf cohomology

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#algebraic-topology #homology-cohomology #sheaf-theory #sheaf-cohomology #de-rham-cohomology
660
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What is the difference between the cohomology rings of odd and even dimensional spheres?

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#abstract-algebra #algebraic-topology #homology-cohomology
1k
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Understanding the Yoneda product defined in terms of morphisms of projective resolutions.

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#homology-cohomology #homological-algebra #graded-rings
333
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Is there a quick way to distinguish between a wedge of spheres and a suspended projective space?

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#algebraic-topology #homology-cohomology #homotopy-theory
452
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First Cohomology of Abelian Cover

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#algebraic-topology #differential-topology #homology-cohomology #covering-spaces
1.6k
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Understanding relative cohomology of the interval

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#algebraic-topology #homology-cohomology
507
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Hatcher Exercise 3.2.16

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#algebraic-topology #homology-cohomology #cw-complexes
148
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Problem on simplicial complexes.

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#general-topology #homology-cohomology #simplicial-complex
49
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Chern Classes Identification

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#general-topology #algebraic-topology #homology-cohomology #vector-bundles
146
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Cohomology of union of quadric surfaces in $\mathbb{C}P^3$

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#algebraic-geometry #algebraic-topology #homology-cohomology #quadrics
341
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Loop Space of $BU \times \mathbb{Z}$

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#general-topology #algebraic-topology #homology-cohomology #topological-k-theory #loop-spaces
279
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Higher cup-1 product of coboundaries is also a coboundary?

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#general-topology #algebraic-topology #homology-cohomology #group-cohomology #simplicial-complex
531
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Cohomology ring of $\mathbb CP^2$ with a 3-cell attached

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#algebraic-topology #homology-cohomology
891
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How to compute higher homotopy groups of spheres?

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#algebraic-topology #homology-cohomology #homotopy-theory
74
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Cohomology Via Resolutions of "Flat" Objects

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#homology-cohomology #homological-algebra

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