List questions from differential-topology

Published on 11 Apr 2026 - 4:29

202

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How to find the f-related vector fields

Published on 14 Apr 2026 - 17:50

408

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Is a quotient space of a smooth manifold by a properly discontinuous group action also able to be smooth manifold?

Published on 16 Apr 2026 - 14:37

41

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If $B_1\subseteq\mathbb R^d$ and $f$ is a diffeomorphism of $B_1$ onto an open subset of $\mathbb R^d$, then $B_1$ is open

Published on 15 Apr 2026 - 14:45

468

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Lie Bracket of vector fields

Published on 16 Apr 2026 - 6:33

397

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Some questions on closed geodesics

Published on 11 Apr 2026 - 13:03

192

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How can we show that this normal field is "outward pointing"?

Published on 13 Apr 2026 - 20:32

77

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What's meant by the number of "distinct $C^k$ differential structures" other than the amount of distinct maximal atlases?

Published on 16 Apr 2026 - 9:18

78

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Characterization of $C^\alpha$-differentiability on a submanifold with boundary

Published on 15 Apr 2026 - 2:29

135

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Uniqueness of the derivative of a differentiable function on a non-open set

Published on 14 Apr 2026 - 7:54

136

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Differentiability at the boundary of a function on a half space

Published on 13 Apr 2026 - 18:52

127

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If $f$ is Lebesgue integrable on an open set $U$ is it integrable over the surface of a submanifold contained in $U$?

Published on 16 Apr 2026 - 8:24

74

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Smooth function, manifold-tangent vector fields $X=(0,1,0) \qquad Y=(1,0,y)$

Published on 15 Apr 2026 - 17:49

105

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Hodge decomposition and homotopy equivalence

Published on 15 Apr 2026 - 15:18

997

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How to find the degree of a map

Published on 12 Apr 2026 - 15:12

List Question

Is manifold mapping degree equal to algebraic degree for polynomials?

How to find the f-related vector fields

Is a quotient space of a smooth manifold by a properly discontinuous group action also able to be smooth manifold?

If $B_1\subseteq\mathbb R^d$ and $f$ is a diffeomorphism of $B_1$ onto an open subset of $\mathbb R^d$, then $B_1$ is open

Lie Bracket of vector fields

Some questions on closed geodesics

How can we show that this normal field is "outward pointing"?

What's meant by the number of "distinct $C^k$ differential structures" other than the amount of distinct maximal atlases?

Characterization of $C^\alpha$-differentiability on a submanifold with boundary

Uniqueness of the derivative of a differentiable function on a non-open set

Differentiability at the boundary of a function on a half space

If $f$ is Lebesgue integrable on an open set $U$ is it integrable over the surface of a submanifold contained in $U$?

Smooth function, manifold-tangent vector fields $X=(0,1,0) \qquad Y=(1,0,y)$

Hodge decomposition and homotopy equivalence

How to find the degree of a map

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