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15
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Computing Cohomology of $S^2/\sim$, not Hausdorff

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#algebraic-topology #homology-cohomology
441
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Integral class mod 2 reduction, and Stiefel Whitney class

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#algebraic-topology #differential-topology #homology-cohomology #geometric-topology #characteristic-classes
176
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Boundaries of manifolds and algebraic topology

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#algebraic-topology #homology-cohomology #manifolds-with-boundary
83
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Integral cohomology class associated to trefoil knots

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#algebraic-topology #differential-topology #homology-cohomology #geometric-topology #knot-theory
284
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Oriented vs. Ordered Simplicial Homology

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#abstract-algebra #algebraic-topology #category-theory #homology-cohomology
215
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What is the mistake in the following cohomology computation?

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#algebraic-topology #homology-cohomology
401
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Compactly supported cohomology of a connected manifolds of finite type.

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#manifolds #compactness #homology-cohomology
84
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How do we compute the $k$-th rational homology group of $\#^{\infty} S^{\infty}$?

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#homology-cohomology
849
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Computing the homology groups of two tori attached in a certain way.

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#algebraic-topology #homology-cohomology
161
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Homology of quotient space of $S^2$ under the identifications $x \sim -x$ for $X$ in the equator $S^1$.

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#algebraic-topology #homology-cohomology
258
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Motivation for local cohomology and local homotopy theories in Algebraic topology.

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#algebraic-topology #homology-cohomology #homotopy-theory
51
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How do we compute the rational cohomology ring $H^*\left(\bigsqcup_{i\ge 1}S^n;\mathbb{Q}\right)$?

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#ring-theory #homology-cohomology
125
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explicit group cocycles of the Klein four-group

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#group-theory #homology-cohomology #group-cohomology
59
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unit element in cohomology and k-theory

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#differential-geometry #algebraic-topology #homology-cohomology #characteristic-classes #topological-k-theory
330
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Finding the generators of De Rham cohomology of surface of genus two

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#algebraic-topology #manifolds #homology-cohomology

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