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Getting a self-homeomorphism of the cylinder from a self-homeomorphism of the circle

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#general-topology #differential-topology #low-dimensional-topology
1.4k
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what is Sierpiński topology?

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#general-topology #differential-topology
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
68
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The regularity of intersection of a minimal surface and a surface of positive mean curvature?

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#differential-geometry #differential-topology
91
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What's the regularity of the level set of a ''semi-nondegenerate" smooth function on closed manifold?

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#differential-geometry #differential-topology
63
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Help me to prove related path component and open ball

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#general-topology #differential-geometry #differential-topology
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
1.5k
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Hyperboloid is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
2.4k
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The graph of a smooth map is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
362
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Prove that the sets in $\mathbb{R}^n$ which are both open and closed are $\emptyset$ and $\mathbb{R}^n$

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#real-analysis #general-topology #differential-geometry #differential-topology
113
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Proof the open subset of $\mathbb{R}^2$

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#general-topology #differential-topology
63
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Proof a map is injection

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#geometry #differential-geometry #differential-topology
72
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Related the property of two points contained in the same component

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#general-topology #algebraic-topology #differential-topology #connectedness
1.7k
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Good reference book for fibre bundles and principal bundles

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#differential-geometry #algebraic-topology #differential-topology
94
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An elementary proof that low rank maps cannot be open

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#differential-topology #smooth-manifolds

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