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Vanishing Ext Group of Torsion-free and Skyscraper Sheaves?

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#algebraic-geometry #homology-cohomology #homological-algebra #sheaf-theory
218
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The succession of the coefficient theorem is split but not naturally

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra
81
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What is the homology of $\mathbb{R}^n-U$, where $U$ is a bounded open ball?

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#algebraic-topology #homology-cohomology
245
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Bott and Tu Proposition 12.1

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#algebraic-topology #homology-cohomology #homological-algebra #spectral-sequences #de-rham-cohomology
634
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Compute cohomology ring of $S^1 \times \mathbb{C} P^{\infty}/(S^1 \times \{x_0\})$

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#algebraic-topology #homology-cohomology
81
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Collapse of Eilenberg-Moore spectral sequence

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#algebraic-topology #homology-cohomology #spectral-sequences
59
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Reference books for Homolology and Cohomology using Algebraic approach.

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#abstract-algebra #reference-request #homology-cohomology #book-recommendation
104
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what $Hom(\mathbb{Z}\oplus\mathbb{Z}, \mathbb{Z}/2)$ is?

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#general-topology #algebraic-topology #homology-cohomology #homological-algebra #topological-groups
871
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Euler characteristic of a manifold is odd

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#algebraic-topology #homology-cohomology #manifolds-with-boundary #compact-manifolds
101
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Functoriality of twisted K-theory

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#homology-cohomology #k-theory #topological-k-theory #stable-homotopy-theory #spectra
532
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What is the relation between homology groups of a manifold with boundary and space obtained after removing its boundary?

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#algebraic-topology #manifolds #homology-cohomology #manifolds-with-boundary
82
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Topology of the link of a rational hypersurface singularity

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#algebraic-geometry #homology-cohomology #singularity-theory
325
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Finding Chain Homotopy

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#algebraic-topology #homology-cohomology #homological-algebra
504
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How to understand the definition of cohomological functor?

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#algebraic-geometry #homology-cohomology
105
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Proving that some $\pi_i(M^3)$ vanishes using net multiplicity

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#homology-cohomology #geometric-topology

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