Question

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

score 127 · Answer 1 · 2020-04-24 21:15:07

127

Views

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

Published on 24 Apr 2020 - 21:15

score 40 · Answer 2 · 2020-04-27 22:36:25

40

Views

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

Published on 27 Apr 2020 - 22:36

score 303 · Answer 3 · 2020-04-28 19:36:26

303

Views

Doubt on hypothesis of universal property of direct sum

Published on 28 Apr 2020 - 19:36

score 446 · Answer 4 · 2020-04-29 22:53:47

446

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 29 Apr 2020 - 22:53

score 109 · Answer 5 · 2020-04-29 23:44:15

109

Views

does an ordinary map have a universal property?

Published on 29 Apr 2020 - 23:44

score 657 · Answer 6 · 2020-05-03 22:39:21

657

Views

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

Published on 03 May 2020 - 22:39

score 214 · Answer 7 · 2026-02-23 06:25:19

214

Views

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

Published on 23 Feb 2026 - 6:25

score 67 · Answer 8 · 2026-03-25 16:01:40

67

Views

Making a "definition" by way of a universal property

Published on 25 Mar 2026 - 16:01

score 197 · Answer 9 · 2020-05-16 09:29:42

197

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 16 May 2020 - 9:29

score 1.5k · Answer 10 · 2026-03-26 00:20:12

1.5k

Views

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

Published on 26 Mar 2026 - 0:20

score 389 · Answer 11 · 2020-05-24 23:47:03

389

Views

Prove universal morphism is unique up to unique isomorphism.

Published on 24 May 2020 - 23:47

score 49 · Answer 12 · 2026-03-25 03:03:41

49

Views

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

Published on 25 Mar 2026 - 3:03

score 116 · Answer 13 · 2026-02-23 12:01:06

116

Views

Universal property of 2-pullback

Published on 23 Feb 2026 - 12:01

score 223 · Answer 14 · 2026-02-23 04:45:59

223

Views

How to understand the effect of adjoint functors?

Published on 23 Feb 2026 - 4:45

score 48 · Answer 15 · 2020-07-12 20:51:40

48

Views

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

Published on 12 Jul 2020 - 20:51

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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