List questions from differential-topology

Published on 16 Apr 2026 - 4:02

1.1k

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Knot with genus $1$ and trivial Alexander polynomial?

Published on 12 Apr 2026 - 4:57

1.5k

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Stokes for integration along the fiber

Published on 09 Apr 2026 - 23:01

187

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Let $\mathbb{R}^m_+ = \lbrace x \in \mathbb{R}^m : x \geqslant 0 \rbrace.$ What is the boundary set of the set $ \mathbb{R}^m_+$?

Published on 16 Apr 2026 - 7:55

1.1k

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Morse theory and surfaces

Published on 11 Apr 2026 - 12:13

102

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Is there any connection between partial derivative and matrices?

Published on 10 Apr 2026 - 9:06

387

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On Tangent vectors as jets & submanifolds

Published on 12 Apr 2026 - 18:30

1k

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On the Use of the Topology on Tangent Bundles

Published on 15 Apr 2026 - 18:41

660

Views

Is an immersed submanifold second-countable?

Published on 13 Apr 2026 - 5:11

459

Views

Thom-Pontryagin construction of manifolds with boundary

Published on 14 Apr 2026 - 2:22

657

Views

Differential forms on a $S^1$-manifold

Published on 16 Apr 2026 - 9:02

347

Views

Proof of Cellular Approximation from Sard's Theorem

Published on 09 Apr 2026 - 23:31

3.4k

Views

Is a cube a smooth manifold?

Published on 10 Apr 2026 - 23:08

113

Views

Another time on jets and composition

Published on 11 Apr 2026 - 5:25

2.3k

Views

Sanity check about Wikipedia definition of differentiable manifold as a locally ringed space

Published on 10 Apr 2026 - 10:12

List Question

Why is the pullback completely determined by $d f^\ast = f^\ast d$ in de Rham cohomology?

Knot with genus $1$ and trivial Alexander polynomial?

Stokes for integration along the fiber

Let $\mathbb{R}^m_+ = \lbrace x \in \mathbb{R}^m : x \geqslant 0 \rbrace.$ What is the boundary set of the set $ \mathbb{R}^m_+$?

Morse theory and surfaces

Is there any connection between partial derivative and matrices?

On Tangent vectors as jets & submanifolds

On the Use of the Topology on Tangent Bundles

Is an immersed submanifold second-countable?

Thom-Pontryagin construction of manifolds with boundary

Differential forms on a $S^1$-manifold

Proof of Cellular Approximation from Sard's Theorem

Is a cube a smooth manifold?

Another time on jets and composition

Sanity check about Wikipedia definition of differentiable manifold as a locally ringed space

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