List questions from pullback

Published on 18 Jan 2024 - 3:37

45

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Isometries of a submanifold with induced metric

Published on 27 Jan 2024 - 12:54

28

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Is the pullback functor $q^*$ essentially injective when $q$ is a regular epimorphism?

Published on 27 Feb 2024 - 21:14

28

Views

Trouble showing kernel-preserving additive contravariant functors are left exact

Published on 06 Mar 2024 - 8:01

59

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Elements of $\infty$-cats Corollary 4.1.3

Published on 18 Mar 2024 - 14:39

111

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Pullback metric on sphere

Published on 21 Mar 2024 - 4:21

47

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Question about pullback of differential form

Published on 24 Mar 2024 - 2:07

90

Views

Questions about a natural map: $f^{-1}f_{*}\mathcal{F} \to \mathcal{F}$.

Published on 29 Aug 2013 - 9:32

263

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Pullback function on basis 1-forms

Published on 15 Apr 2017 - 18:15

412

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Existence of a certain diffeomorphism $f$ of $\mathbb R^n$ s.t. $f^{*}\omega_0=\omega_0$, $\omega_{0}$ is the standard volume form on $\mathbb R^n$

Published on 27 Apr 2017 - 17:09

1.4k

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Any volume form on a smooth $n$-dimensional manifold is locally a pullback of the standard volume form $dx_1\wedge ...\wedge dx_n$ on $\mathbb R^n$?

Published on 29 Apr 2017 - 15:09

50

Views

What's the name for this kind of 2-categorical unsymmetric pullback?

Published on 30 Apr 2017 - 12:05

243

Views

pullback of euclidean volume form under map $x\mapsto x/\|x\|^2$, for $x\in \mathbb{R}^n\setminus\{0\}$

Published on 06 Jun 2017 - 21:12

176

Views

Pull-back of 1-form

Published on 07 Jun 2017 - 22:10

42

Views

Provide a condition on which, We have $f^*(T)=T$

Published on 29 Jun 2017 - 11:59

List Question

Is the sentence "the diagram is a pullback" wrong?

Isometries of a submanifold with induced metric

Is the pullback functor $q^*$ essentially injective when $q$ is a regular epimorphism?

Trouble showing kernel-preserving additive contravariant functors are left exact

Elements of $\infty$-cats Corollary 4.1.3

Pullback metric on sphere

Question about pullback of differential form

Questions about a natural map: $f^{-1}f_{*}\mathcal{F} \to \mathcal{F}$.

Pullback function on basis 1-forms

Existence of a certain diffeomorphism $f$ of $\mathbb R^n$ s.t. $f^{*}\omega_0=\omega_0$, $\omega_{0}$ is the standard volume form on $\mathbb R^n$

Any volume form on a smooth $n$-dimensional manifold is locally a pullback of the standard volume form $dx_1\wedge ...\wedge dx_n$ on $\mathbb R^n$?

What's the name for this kind of 2-categorical unsymmetric pullback?

pullback of euclidean volume form under map $x\mapsto x/\|x\|^2$, for $x\in \mathbb{R}^n\setminus\{0\}$

Pull-back of 1-form

Provide a condition on which, We have $f^*(T)=T$

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