List questions from smooth-manifolds

Published on 30 Mar 2026 - 10:56

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Proving the dimension of a manifold is well defined

Published on 25 Mar 2019 - 17:17

75

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Upper volume bounds for submanifolds

Published on 29 Mar 2026 - 5:42

182

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Proof verification, The quotient map $\pi: \mathbb{C}^{n+1} \rightarrow \mathbb{CP}^n $ is a submersion

Published on 27 Mar 2019 - 1:22

127

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Bounded Laplacian

Published on 25 Mar 2026 - 13:51

1.2k

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When Does an Atlas Uniquely Define a Manifold?

Published on 30 Mar 2026 - 10:54

612

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How to prove that this two maps on torus are not homotopic?

Published on 30 Mar 2026 - 11:03

350

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A quotient space by group action is manifold $???$

Published on 26 Mar 2026 - 19:17

76

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Show that a critical point of one function can't be a critical point of another function

Published on 30 Mar 2026 - 13:40

62

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Finding a manifold that covers a compact and respect some properties

Published on 30 Mar 2026 - 10:56

251

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How is the push forward on the tangent spaces defined?

Published on 30 Mar 2019 - 16:50

581

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smooth singular vs.singular homology

Published on 30 Mar 2026 - 12:45

51

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Groupoid Theory I, Higson's notes

Published on 24 Mar 2026 - 21:59

532

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Let $M$ be a smooth n-manifold($n\geq 1$).Prove that $M$ admits a diffeomorphism $f : M \to M$ which is not the identity

Published on 30 Mar 2026 - 12:43

104

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Is the subset $\{ f : f \in L^2[0,1], ||f||_{\infty} \leq 1\}$ of $L^2[0, 1]$ a Hilbert manifold in the latter Lebesgue space?

Published on 02 Apr 2019 - 4:53

List Question

Exercise 3 in section 2.2 on Hirsch's differential topology

Proving the dimension of a manifold is well defined

Upper volume bounds for submanifolds

Proof verification, The quotient map $\pi: \mathbb{C}^{n+1} \rightarrow \mathbb{CP}^n $ is a submersion

Bounded Laplacian

When Does an Atlas Uniquely Define a Manifold?

How to prove that this two maps on torus are not homotopic?

A quotient space by group action is manifold $???$

Show that a critical point of one function can't be a critical point of another function

Finding a manifold that covers a compact and respect some properties

How is the push forward on the tangent spaces defined?

smooth singular vs.singular homology

Groupoid Theory I, Higson's notes

Let $M$ be a smooth n-manifold($n\geq 1$).Prove that $M$ admits a diffeomorphism $f : M \to M$ which is not the identity

Is the subset $\{ f : f \in L^2[0,1], ||f||_{\infty} \leq 1\}$ of $L^2[0, 1]$ a Hilbert manifold in the latter Lebesgue space?

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