List questions from differential-topology

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what is Sierpiński topology?

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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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The regularity of intersection of a minimal surface and a surface of positive mean curvature?

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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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Help me to prove related path component and open ball

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Poincarè duals in complex projective space and homotopy

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Hyperboloid is a manifold

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The graph of a smooth map is a manifold

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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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Proof the open subset of $\mathbb{R}^2$

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Proof a map is injection

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Related the property of two points contained in the same component

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Good reference book for fibre bundles and principal bundles

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An elementary proof that low rank maps cannot be open

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List Question

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

what is Sierpiński topology?

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

The regularity of intersection of a minimal surface and a surface of positive mean curvature?

What's the regularity of the level set of a ''semi-nondegenerate" smooth function on closed manifold?

Help me to prove related path component and open ball

Poincarè duals in complex projective space and homotopy

Hyperboloid is a manifold

The graph of a smooth map is a manifold

Prove that the sets in $\mathbb{R}^n$ which are both open and closed are $\emptyset$ and $\mathbb{R}^n$

Proof the open subset of $\mathbb{R}^2$

Proof a map is injection

Related the property of two points contained in the same component

Good reference book for fibre bundles and principal bundles

An elementary proof that low rank maps cannot be open

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