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15
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How to compute homology group of $S^1 \times S^n$

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#algebraic-topology
352
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the degree of a map from $S^2$ to $S^2$

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#algebraic-topology
49
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Show $f$ and $g$ are both homeomorphism mapping of $T^2$ but $f$ is not homotopy equivalent with $g.$

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#algebraic-topology
96
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Chain homotopy on linear chains: confusion from Hatcher's book

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#algebraic-topology
435
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Compute Thom and Euler class

Published on
#differential-geometry #algebraic-topology #vector-bundles #algebraic-k-theory
213
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Are these cycles boundaries?

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#algebraic-topology #homology-cohomology
117
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a problem related with path lifting property

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#algebraic-topology #manifolds
512
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Bott and Tu exercise 6.5 - Reducing the structure group of a vector bundle to $O(n)$

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#algebraic-topology #differential-topology #vector-bundles
359
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Cohomology groups of a torus minus a finite number of disjoint open disks

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#differential-geometry #algebraic-topology #homology-cohomology
743
Views

CW-structure on $S^n$ and orientations

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#algebraic-topology
190
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Terminal object for Prin(X,G) (principal $G$-bundles)

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#algebraic-topology #category-theory #principal-bundles
62
Views

$f$ - odd implies $d(f)$ - odd, question to the proof

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#general-topology #algebraic-topology #homology-cohomology #homology-sphere
829
Views

Help resolving this contradiction in descriptions of the fundamental groups of the figure eight and n-torus

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#general-topology #algebraic-topology #fundamental-groups #free-groups #free-abelian-group
928
Views

Computing Pontryagin Duals

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#algebraic-topology #abelian-groups #harmonic-analysis #duality-theorems
108
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Poincarè duals in complex projective space and homotopy

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#algebraic-topology #differential-topology #homology-cohomology #projective-space

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