Question

Replacing a family of epimorphisms by epimorphisms with the same domain by forming pullbacks in an abelian category

score 91 · Answer 1 · 2020-04-04 12:57:53

91

Views

Replacing a family of epimorphisms by epimorphisms with the same domain by forming pullbacks in an abelian category

Published on 04 Apr 2020 - 12:57

score 34 · Answer 2 · 2020-04-06 15:24:29

34

Views

Pulling back along a closed inclusion induces a bijection on dense subobjects.

Published on 06 Apr 2020 - 15:24

score 324 · Answer 3 · 2026-02-23 02:55:23

324

Views

Pullback of Poincaré dual

Published on 23 Feb 2026 - 2:55

score 73 · Answer 4 · 2020-04-17 12:03:39

73

Views

If two pullbacks generate the same motphisms are they the same?

Published on 17 Apr 2020 - 12:03

score 168 · Answer 5 · 2026-02-23 06:16:35

168

Views

Pullback of a complex one-form

Published on 23 Feb 2026 - 6:16

score 124 · Answer 6 · 2020-05-02 08:01:25

124

Views

If a category admits binary products and pullbacks, is it true that the product functor $Z \times -$ preserves pullbacks, for every object $Z$?

Published on 02 May 2020 - 8:01

score 942 · Answer 7 · 2020-05-13 21:19:48

942

Views

Why is the pullback (between affine varieties) of a quasi coherent sheaf quasi coherent?

Published on 13 May 2020 - 21:19

score 1.8k · Answer 8 · 2020-05-13 23:52:45

1.8k

Views

Pushforward and Pullback Applied to Composition of Maps

Published on 13 May 2020 - 23:52

score 250 · Answer 9 · 2020-05-14 20:20:03

250

Views

If one vertical arrow in a pullback is an iso, then so is the other

Published on 14 May 2020 - 20:20

score 257 · Answer 10 · 2020-05-25 20:37:46

257

Views

Integral of a differential form on a torus

Published on 25 May 2020 - 20:37

score 360 · Answer 11 · 2020-05-27 04:39:43

360

Views

Identify a pullback line bundle on $\mathbb{P}^1$

Published on 27 May 2020 - 4:39

score 194 · Answer 12 · 2020-05-29 20:08:00

194

Views

Let $\epsilon$ be a topos and let $f:Y\to X$ be a morphism. Let $M,N$ be two subobjects of $X$. Is it true that $f^(M\cap N)=f^(M)\cap f^*(N)$?

Published on 29 May 2020 - 20:08

score 107 · Answer 13 · 2020-06-02 14:54:29

107

Views

Average of a tensor with respect to a group action

Published on 02 Jun 2020 - 14:54

score 254 · Answer 14 · 2020-06-03 21:04:27

254

Views

Resolving indeterminacy of map on projective spaces induced by a linear map

Published on 03 Jun 2020 - 21:04

score 128 · Answer 15 · 2020-06-08 15:06:19

128

Views

Category Theory in Context 3.1 viii: Composite pullback rectangle

Published on 08 Jun 2020 - 15:06

List Question

Replacing a family of epimorphisms by epimorphisms with the same domain by forming pullbacks in an abelian category

Pulling back along a closed inclusion induces a bijection on dense subobjects.

Pullback of Poincaré dual

If two pullbacks generate the same motphisms are they the same?

Pullback of a complex one-form

If a category admits binary products and pullbacks, is it true that the product functor $Z \times -$ preserves pullbacks, for every object $Z$?

Why is the pullback (between affine varieties) of a quasi coherent sheaf quasi coherent?

Pushforward and Pullback Applied to Composition of Maps

If one vertical arrow in a pullback is an iso, then so is the other

Integral of a differential form on a torus

Identify a pullback line bundle on $\mathbb{P}^1$

Let $\epsilon$ be a topos and let $f:Y\to X$ be a morphism. Let $M,N$ be two subobjects of $X$. Is it true that $f^(M\cap N)=f^(M)\cap f^*(N)$?

Average of a tensor with respect to a group action

Resolving indeterminacy of map on projective spaces induced by a linear map

Category Theory in Context 3.1 viii: Composite pullback rectangle

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