Question

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

score 100 · Answer 1 · 2026-03-30 03:34:04

100

Views

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

Published on 30 Mar 2026 - 3:34

score 35 · Answer 2 · 2026-02-23 10:01:15

35

Views

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

Published on 23 Feb 2026 - 10:01

score 326 · Answer 3 · 2026-04-09 08:06:30

326

Views

Pullback of Poincaré dual

Published on 09 Apr 2026 - 8:06

score 74 · Answer 4 · 2026-02-23 10:00:13

74

Views

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

Published on 23 Feb 2026 - 10:00

score 169 · Answer 5 · 2026-04-09 11:16:45

169

Views

Pullback of a complex one-form

Published on 09 Apr 2026 - 11:16

score 125 · Answer 6 · 2026-02-23 10:04:21

125

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 23 Feb 2026 - 10:04

score 943 · Answer 7 · 2026-02-23 10:05:13

943

Views

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

Published on 23 Feb 2026 - 10:05

score 1.8k · Answer 8 · 2026-02-23 09:59:48

1.8k

Views

Pushforward and Pullback Applied to Composition of Maps

Published on 23 Feb 2026 - 9:59

score 251 · Answer 9 · 2026-02-23 10:03:24

251

Views

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

Published on 23 Feb 2026 - 10:03

score 258 · Answer 10 · 2026-02-23 10:02:51

258

Views

Integral of a differential form on a torus

Published on 23 Feb 2026 - 10:02

score 361 · Answer 11 · 2026-02-23 10:07:12

361

Views

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

Published on 23 Feb 2026 - 10:07

score 195 · Answer 12 · 2026-02-23 10:06:16

195

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 23 Feb 2026 - 10:06

score 108 · Answer 13 · 2026-02-23 10:02:53

108

Views

Average of a tensor with respect to a group action

Published on 23 Feb 2026 - 10:02

score 255 · Answer 14 · 2026-02-23 10:02:31

255

Views

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

Published on 23 Feb 2026 - 10:02

score 131 · Answer 15 · 2026-04-05 17:16:24

131

Views

Category Theory in Context 3.1 viii: Composite pullback rectangle

Published on 05 Apr 2026 - 17:16

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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