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15
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On the proof of Poincaré dual of transversal intersection

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#differential-geometry #algebraic-topology #vector-bundles #characteristic-classes #poincare-duality
208
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Non-contractible simplicial complex and Euler characteristic 1

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#general-topology #algebraic-topology #simplicial-complex
66
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Fixed point of a map $\mathbb R^n \rightarrow \mathbb R^n$

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#general-topology #algebraic-topology #fixed-point-theorems
47
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Induced fiber bundle equivalency

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#algebraic-topology #fiber-bundles
1.2k
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What is the universal cover of the plane minus two points?

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#algebraic-topology
379
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Short exact sequence and splitting lemma

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#algebraic-topology #homological-algebra
105
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Group theoretic interpretation of the cohomology of $K(G, n)$

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#algebraic-topology #category-theory #homology-cohomology #homological-algebra #group-cohomology
172
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why is this figure not a simplicial complex?

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#geometry #algebraic-topology #homology-cohomology
101
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Showing that a path is a non-trivial element of a fundamental group.

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#general-topology #algebraic-topology #homotopy-theory
129
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Bootstraplemma 7.9 in Bredon

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#general-topology #algebraic-topology #manifolds
1k
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How should I interpret a homotopy schematic?

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#algebraic-topology
109
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regular covering proof

Published on
#algebraic-topology #covering-spaces
485
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Compact 3-manifold with trivial first homology

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#algebraic-topology #compact-manifolds
104
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Is $\mathbb{R}^4-\{0\}=S^3\times \mathbb{R}$?

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#general-topology #differential-geometry #algebraic-topology #differential-topology
98
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Alternative conditions for a function $\phi:S_g\rightarrow S_g$ to be homotopic to identity

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#general-topology #functional-analysis #analysis #algebraic-topology

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