Question

$\mathbb Z_3$-orientable manifold is $\mathbb Z$-orientable.

score 41 · Answer 1 · 2023-08-21 03:47:41

41

Views

$\mathbb Z_3$-orientable manifold is $\mathbb Z$-orientable.

Published on 21 Aug 2023 - 3:47

score 70 · Answer 2 · 2026-03-25 23:08:28

70

Views

Integration over a closed surface in a Riemannian $3$-manifold

Published on 25 Mar 2026 - 23:08

score 149 · Answer 3 · 2023-10-04 18:40:29

149

Views

Global orientation class of $M$ implies top homology is $\mathbb{Z}$

Published on 04 Oct 2023 - 18:40

score 233 · Answer 4 · 2023-10-05 10:38:22

233

Views

Top homology $\mathbb{Z}$ implies orientability

Published on 05 Oct 2023 - 10:38

score 23 · Answer 5 · 2026-03-25 12:48:59

23

Views

preimage of oriented submanifold under transversal map is orientable

Published on 25 Mar 2026 - 12:48

score 82 · Answer 6 · 2023-12-13 04:23:30

82

Views

What is meant by a unit outer normal along an oriented hypersurface in an oriented Riemannian manifold?

Published on 13 Dec 2023 - 4:23

score 92 · Answer 7 · 2023-12-14 19:33:11

92

Views

What are oriented embeddings of zero-dimensional manifolds?

Published on 14 Dec 2023 - 19:33

score 21 · Answer 8 · 2024-02-01 13:57:25

21

Views

need a rigorous proof of the generator of local homology group $H_{n}(\mathbb{R}^n,\mathbb{R}^n-\{0\})$ is the given simplex

Published on 01 Feb 2024 - 13:57

score 46 · Answer 9 · 2026-03-25 12:48:46

46

Views

Proof construction for non-orientability of Mobius strip

Published on 25 Mar 2026 - 12:48

score 59 · Answer 10 · 2024-02-17 20:28:31

59

Views

$z \mapsto z^m$ is orientation preserving and regular

Published on 17 Feb 2024 - 20:28

score 79 · Answer 11 · 2024-02-20 16:10:30

79

Views

Orientability issue when classifying symplectic structures on compact orientable surfaces

Published on 20 Feb 2024 - 16:10

score 28 · Answer 12 · 2024-03-05 10:24:26

28

Views

A question about two right-handed frames in $\mathbb{R}^n$. ("Analysis on Manifolds" by James R. Munkres.)

Published on 05 Mar 2024 - 10:24

score 11 · Answer 13 · 2026-03-18 21:19:52

11

Views

Understanding the Representation of Signal Variation by $\hat{u}^T T \hat{u}$ in the Context of 3D Orientation Tensors

Published on 18 Mar 2026 - 21:19

score 505 · Answer 14 · 2026-03-25 23:39:17

505

Views

A space that deformation retracts into the cylinder and Möbius band doesn't embed in $\Bbb R^3$.

Published on 25 Mar 2026 - 23:39

score 190 · Answer 15 · 2015-01-31 20:40:29

190

Views

Surjective map from orientable covering space to orientation cover of base space.

Published on 31 Jan 2015 - 20:40

List Question

$\mathbb Z_3$-orientable manifold is $\mathbb Z$-orientable.

Integration over a closed surface in a Riemannian $3$-manifold

Global orientation class of $M$ implies top homology is $\mathbb{Z}$

Top homology $\mathbb{Z}$ implies orientability

preimage of oriented submanifold under transversal map is orientable

What is meant by a unit outer normal along an oriented hypersurface in an oriented Riemannian manifold?

What are oriented embeddings of zero-dimensional manifolds?

need a rigorous proof of the generator of local homology group $H_{n}(\mathbb{R}^n,\mathbb{R}^n-\{0\})$ is the given simplex

Proof construction for non-orientability of Mobius strip

$z \mapsto z^m$ is orientation preserving and regular

Orientability issue when classifying symplectic structures on compact orientable surfaces

A question about two right-handed frames in $\mathbb{R}^n$. ("Analysis on Manifolds" by James R. Munkres.)

Understanding the Representation of Signal Variation by $\hat{u}^T T \hat{u}$ in the Context of 3D Orientation Tensors

A space that deformation retracts into the cylinder and Möbius band doesn't embed in $\Bbb R^3$.

Surjective map from orientable covering space to orientation cover of base space.

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