List questions from pullback

Published on 24 Feb 2026 - 4:37

173

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Pull-back of the diagonal is the negative canonical bundle

Published on 24 Feb 2026 - 4:35

40

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Pullback on $\mathbb{A}^{n-1}$ of $\pi$ : $Z(F) \rightarrow \mathbb{A}^{n-1}$

Published on 24 Feb 2026 - 4:36

56

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Which is a more appropriate type for composition of bundles?

Published on 11 Apr 2026 - 20:34

314

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Volume form on compact Lie group

Published on 11 Apr 2026 - 16:04

143

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Subobject classifier of $C$ is the same as the terminal object of $D$

Published on 24 Feb 2026 - 4:36

318

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Do pull backs preserve epi morphisms in a topos?

Published on 11 Apr 2026 - 23:58

47

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Why is $[\top,\bot]$ the character of the coproduct inclusion $i_1$?

Published on 24 Feb 2026 - 4:37

65

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$\phi(u, v) = (2u-v, 3u+2v) =: (x, y)$, compute: $ \phi^*(−ydx + 2xdy)$

Published on 24 Feb 2026 - 4:35

52

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Internally projective object gives a commuting square

Published on 11 Apr 2026 - 8:31

55

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$d : \Omega^r(R^n) \rightarrow Ω^{r+1}(R^n)$ show that: $d ◦ \phi^∗ = \phi^∗ ◦ d$

Published on 24 Feb 2026 - 4:36

81

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Specific example Pull-back equality in manifolds

Published on 24 Feb 2026 - 4:31

126

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Pullback connection from a local diffeomorphism under an integral.

Published on 09 Apr 2026 - 8:56

91

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Definition of differentiable map that preserves orientations

Published on 11 Apr 2026 - 5:02

124

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Equivalent definitions of flat morphism

Published on 22 Mar 2026 - 5:07

List Question

$\int_G dx^1\wedge \cdots \wedge dx^k$ where $G$ is the graph of a function

Pull-back of the diagonal is the negative canonical bundle

Pullback on $\mathbb{A}^{n-1}$ of $\pi$ : $Z(F) \rightarrow \mathbb{A}^{n-1}$

Which is a more appropriate type for composition of bundles?

Volume form on compact Lie group

Subobject classifier of $C$ is the same as the terminal object of $D$

Do pull backs preserve epi morphisms in a topos?

Why is $[\top,\bot]$ the character of the coproduct inclusion $i_1$?

$\phi(u, v) = (2u-v, 3u+2v) =: (x, y)$, compute: $ \phi^*(−ydx + 2xdy)$

Internally projective object gives a commuting square

$d : \Omega^r(R^n) \rightarrow Ω^{r+1}(R^n)$ show that: $d ◦ \phi^∗ = \phi^∗ ◦ d$

Specific example Pull-back equality in manifolds

Pullback connection from a local diffeomorphism under an integral.

Definition of differentiable map that preserves orientations

Equivalent definitions of flat morphism

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