List questions from orientation

Published on 31 Mar 2021 - 6:44

524

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Special properties of 'Orientability' of Manifolds ($R$-orientable but not $\Bbb Z$-orientable)

Published on 01 Apr 2021 - 13:22

131

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How to check that two orientations of manifolds are consistent

Published on 06 Apr 2021 - 0:53

27

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$H^n_c(X;\Bbb Z)=\Bbb Z_2$ for a nonorientable connected $n$-manifold $X$, proof given in Dold's Algebraic Topology

Published on 08 Apr 2021 - 19:04

254

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How to find the orientation of a manifold

Published on 08 Apr 2021 - 20:15

207

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Proof that a Diffeomorphism Between Two Coordinate Systems Compatible with an Orientation on a Manifold has Positive Determinant

Published on 27 Mar 2026 - 3:49

311

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Oriented Atlas for $\mathbb{RP}^3$

Published on 21 Apr 2021 - 16:25

323

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Oriented Angles in Euclidean Geometry

Published on 22 Apr 2021 - 21:20

101

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Choosing normals for non-orientable surfaces

Published on 23 Apr 2021 - 6:52

57

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Show that $E$ is orientable.

Published on 25 Apr 2021 - 4:02

177

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What is the tangent bundle of Mobius band?(It is trivial or not?)

Published on 25 Mar 2026 - 19:10

53

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Calculating heading error in different ways leads to different results in Matlab, why?

Published on 07 May 2021 - 13:25

45

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Homotopy properties of continuous map from real projective plane

Published on 09 May 2021 - 19:27

267

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Orientation and almost complex structures

Published on 26 Mar 2026 - 1:06

591

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Prove that flow map $\theta_t$ is orientation preserving

Published on 05 Jun 2021 - 12:26

List Question

Uniform limit of orientation-preserving homeomorphisms again orientation-preserving?

Special properties of 'Orientability' of Manifolds ($R$-orientable but not $\Bbb Z$-orientable)

How to check that two orientations of manifolds are consistent

$H^n_c(X;\Bbb Z)=\Bbb Z_2$ for a nonorientable connected $n$-manifold $X$, proof given in Dold's Algebraic Topology

How to find the orientation of a manifold

Proof that a Diffeomorphism Between Two Coordinate Systems Compatible with an Orientation on a Manifold has Positive Determinant

Oriented Atlas for $\mathbb{RP}^3$

Oriented Angles in Euclidean Geometry

Choosing normals for non-orientable surfaces

Show that $E$ is orientable.

What is the tangent bundle of Mobius band?(It is trivial or not?)

Calculating heading error in different ways leads to different results in Matlab, why?

Homotopy properties of continuous map from real projective plane

Orientation and almost complex structures

Prove that flow map $\theta_t$ is orientation preserving

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