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15
320
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Pullback of Thom class by a non-zero section

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#homology-cohomology #vector-bundles #fiber-bundles #characteristic-classes
1.2k
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Intersection pairing in homology

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#algebraic-topology #homology-cohomology
51
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Does exist $f: V \otimes V \to V$ such that $(f(x,y),z) = (x,f(y,z))$?

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#linear-algebra #abstract-algebra #homology-cohomology
107
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Comparison Singular Sheaf Cohomology of Locally Contractable Space

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#algebraic-geometry #homology-cohomology #sheaf-cohomology
92
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Show that there are exactly two spaces obtained from identifying edges of a triangle.

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#general-topology #algebraic-topology #triangles #homology-cohomology #fundamental-groups
583
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What is the difference between projective space and weighted projective space?

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#algebraic-geometry #algebraic-topology #homology-cohomology #complex-geometry #projective-space
119
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Compute all homology groups of all compact surfaces

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#algebraic-topology #compactness #homology-cohomology
570
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Topological structure of the dunce hat

Published on
#algebraic-topology #homology-cohomology #covering-spaces #fundamental-groups
222
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Relationship Between Homology of Space and its Boundary

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#algebraic-topology #homology-cohomology
263
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Homology and homotopy groups of $\mathbb{R}^n\setminus D^n$

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#algebraic-topology #homology-cohomology #homotopy-theory
486
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Classification of homology 5-spheres

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#algebraic-topology #homology-cohomology
234
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Reference for spectra theory (in topology)

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#algebraic-topology #homology-cohomology #homotopy-theory #stable-homotopy-theory #spectra
1k
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Interpretation of Borel equivariant cohomology.

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#algebraic-topology #homology-cohomology #equivariant-cohomology
155
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$HH_1(\mathbb{C})=0$ over $\mathbb{C}$, but $HH_1(\mathbb{C})\neq 0$ over $\mathbb{Q}$

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#abstract-algebra #homology-cohomology #homological-algebra
101
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Homology shows $\mathbb Z\cong 0$?

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

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