Question

If a presheaf $\mathcal{F}$ coincides locally with a sheaf $\mathcal{G}$, then $\mathcal{F}^{sh}\simeq \mathcal{G}$?

score 128 · Answer 1 · 2026-03-26 02:57:50

128

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If a presheaf $\mathcal{F}$ coincides locally with a sheaf $\mathcal{G}$, then $\mathcal{F}^{sh}\simeq \mathcal{G}$?

Published on 26 Mar 2026 - 2:57

score 42 · Answer 2 · 2026-05-11 02:15:36

42

Views

How can I prove that an different compactification to the Stone-Cech compactification doen't have it universal property?

Published on 11 May 2026 - 2:15

score 304 · Answer 3 · 2026-03-26 04:34:40

304

Views

Doubt on hypothesis of universal property of direct sum

Published on 26 Mar 2026 - 4:34

score 447 · Answer 4 · 2026-03-26 02:57:40

447

Views

Why does the surjectivity of the canonical projection $\pi:G\to G/N$ imply uniqueness of $\tilde \varphi: G/N \to H$

Published on 26 Mar 2026 - 2:57

score 110 · Answer 5 · 2026-03-26 02:53:35

110

Views

does an ordinary map have a universal property?

Published on 26 Mar 2026 - 2:53

score 660 · Answer 6 · 2026-04-15 19:50:31

660

Views

A module homomorphism is injective iff the kernel is isomorphic to the trivial module

Published on 15 Apr 2026 - 19:50

score 215 · Answer 7 · 2026-04-09 10:03:56

215

Views

If $S\to T$ is a closed immersion, then $X\times_S Y\simeq X\times_T Y$.

Published on 09 Apr 2026 - 10:03

score 68 · Answer 8 · 2026-05-11 03:07:01

68

Views

Making a "definition" by way of a universal property

Published on 11 May 2026 - 3:07

score 198 · Answer 9 · 2026-03-26 02:56:24

198

Views

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Published on 26 Mar 2026 - 2:56

score 1.5k · Answer 10 · 2026-04-27 02:55:54

1.5k

Views

Understanding Universal Property and Universal Element (from Category Theory in Context, Riehl)

Published on 27 Apr 2026 - 2:55

score 390 · Answer 11 · 2026-03-26 02:58:22

390

Views

Prove universal morphism is unique up to unique isomorphism.

Published on 26 Mar 2026 - 2:58

score 50 · Answer 12 · 2026-05-10 17:18:03

50

Views

$f:X\to Y$ extends to a map $Z\to Y$ iff $f_*[g] = 0$

Published on 10 May 2026 - 17:18

score 119 · Answer 13 · 2026-04-11 10:49:48

119

Views

Universal property of 2-pullback

Published on 11 Apr 2026 - 10:49

score 226 · Answer 14 · 2026-04-09 10:08:25

226

Views

How to understand the effect of adjoint functors?

Published on 09 Apr 2026 - 10:08

score 53 · Answer 15 · 2026-04-17 00:36:18

53

Views

Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

Published on 17 Apr 2026 - 0:36

List Question

If a presheaf $\mathcal{F}$ coincides locally with a sheaf $\mathcal{G}$, then $\mathcal{F}^{sh}\simeq \mathcal{G}$?

How can I prove that an different compactification to the Stone-Cech compactification doen't have it universal property?

Doubt on hypothesis of universal property of direct sum

Why does the surjectivity of the canonical projection $\pi:G\to G/N$ imply uniqueness of $\tilde \varphi: G/N \to H$

does an ordinary map have a universal property?

A module homomorphism is injective iff the kernel is isomorphic to the trivial module

If $S\to T$ is a closed immersion, then $X\times_S Y\simeq X\times_T Y$.

Making a "definition" by way of a universal property

Higher homotopy group $\pi_n(X,x_0)$ is the set of homotopy classes of maps $(S^n,p) \to (X,x_0)$

Understanding Universal Property and Universal Element (from Category Theory in Context, Riehl)

Prove universal morphism is unique up to unique isomorphism.

$f:X\to Y$ extends to a map $Z\to Y$ iff $f_*[g] = 0$

Universal property of 2-pullback

How to understand the effect of adjoint functors?

Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

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