List questions from manifolds-with-boundary

Published on 18 Nov 2020 - 10:07

94

Views

Max of function constrained to a manifold more likely to be on corners

Published on 24 Nov 2020 - 20:06

84

Views

Construct $f$ such that $\partial X=f^{-1}(0)$

Published on 06 Dec 2020 - 16:41

110

Views

Lefschetz duality pairing on images of projections from long exact sequence

Published on 23 Feb 2026 - 8:40

483

Views

The boundary of a manifold has empty boundary

Published on 26 Mar 2026 - 22:14

34

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How to carry around local frames in tangent space ? Degree $0$ Lemma

Published on 27 Mar 2026 - 16:27

42

Views

Open of $\partial H^{n-1}$ can't be diffeomorphic to open of $\partial H^{n}$

Published on 03 Jan 2021 - 8:21

211

Views

Outward pointing vectors on the boundary of the interval $[a,b] \subset \mathbb{R}$

Published on 27 Mar 2026 - 16:25

172

Views

$M \subset \mathbb{R}^n$ $n-$manifold is an open set or the closure of an open set in $\mathbb{R}^n$

Published on 05 Jan 2021 - 16:50

39

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Problem of inward outward vector in degree $0$ Lemma by Milnor

Published on 27 Mar 2026 - 18:01

96

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$f : M \longmapsto N \hspace{0.1cm} C^{\infty}$ if dim $M > $dim $N$ then $f$ can't be injective

Published on 12 Jan 2021 - 22:04

103

Views

Torus minus disk admits a non-vanishing vector field?

Published on 15 Jan 2021 - 17:24

274

Views

Non vanishing smooth vector field on the solid $g-$torus that points inwards

Published on 15 Jan 2021 - 20:26

183

Views

Boundary of $M \times [0,1]$ where $M$ is a smooth manifold

Published on 31 Jan 2021 - 9:51

270

Views

How define the exterior derivative over a manifold with boundary?

Published on 23 Feb 2026 - 15:07

List Question

Definition of boundary of differential manifold is well defined

Max of function constrained to a manifold more likely to be on corners

Construct $f$ such that $\partial X=f^{-1}(0)$

Lefschetz duality pairing on images of projections from long exact sequence

The boundary of a manifold has empty boundary

How to carry around local frames in tangent space ? Degree $0$ Lemma

Open of $\partial H^{n-1}$ can't be diffeomorphic to open of $\partial H^{n}$

Outward pointing vectors on the boundary of the interval $[a,b] \subset \mathbb{R}$

$M \subset \mathbb{R}^n$ $n-$manifold is an open set or the closure of an open set in $\mathbb{R}^n$

Problem of inward outward vector in degree $0$ Lemma by Milnor

$f : M \longmapsto N \hspace{0.1cm} C^{\infty}$ if dim $M > $dim $N$ then $f$ can't be injective

Torus minus disk admits a non-vanishing vector field?

Non vanishing smooth vector field on the solid $g-$torus that points inwards

Boundary of $M \times [0,1]$ where $M$ is a smooth manifold

How define the exterior derivative over a manifold with boundary?

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