Question

Coproduct in category of pointed spaces

score 602 · Answer 1 · 2014-09-26 11:34:39

602

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Coproduct in category of pointed spaces

Published on 26 Sep 2014 - 11:34

score 185 · Answer 2 · 2026-04-12 03:36:18

185

Views

Showing that the direct product does not satisfy the universal property of the direct sum

Published on 12 Apr 2026 - 3:36

score 335 · Answer 3 · 2014-09-26 23:36:42

If the category $J$ has an initial object $s$, prove that every functor $F: J \rightarrow C$ to any category $C$ has a limit, namely $F(s)$.

score 587 · Answer 4 · 2014-09-28 10:34:00

587

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What's the difference between a cartesian monoidal category and a semicartesian monoidal category?

Published on 28 Sep 2014 - 10:34

score 1.8k · Answer 5 · 2026-04-10 20:04:29

1.8k

Views

Reference textbook developing NBG set theory

Published on 10 Apr 2026 - 20:04

score 567 · Answer 6 · 2026-04-03 07:27:22

567

Views

examples of additive categories which have morphism that has no kernel and morphism has no cokernels.

Published on 03 Apr 2026 - 7:27

score 159 · Answer 7 · 2014-09-28 18:25:56

159

Views

Lang Category Theory

Published on 28 Sep 2014 - 18:25

score 463 · Answer 8 · 2014-09-28 22:14:12

463

Views

Lang Universal Objects

Published on 28 Sep 2014 - 22:14

score 324 · Answer 9 · 2026-04-01 01:03:56

324

Views

Determining final and initial object in a certain category

Published on 01 Apr 2026 - 1:03

score 243 · Answer 10 · 2026-04-12 07:48:08

243

Views

"Identity-free" definition of an isomorphism in a semigroupoid / semicategory

Published on 12 Apr 2026 - 7:48

score 548 · Answer 11 · 2026-04-12 06:26:28

How does Yoneda lemma give that the natural isomorphism $\operatorname{hom}(A,-)\cong\operatorname{hom}(B,-)$ implies $A\cong B$?

score 97 · Answer 12 · 2026-04-11 20:20:44

97

Views

A question regarding Yoneda's lemma.

Published on 11 Apr 2026 - 20:20

score 199 · Answer 13 · 2014-10-01 02:54:52

199

Views

Equivalence of categories $\Pi_1:\mathbf{K^1_{CW,*}}\to \mathbf{Grp}$

Published on 01 Oct 2014 - 2:54

score 389 · Answer 14 · 2026-04-12 11:02:01

389

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Computation of adjoint functors (sheafification)

Published on 12 Apr 2026 - 11:02

score 1k · Answer 15 · 2026-04-12 00:44:36

1k

Views

Aluffi, Exercise 2.12, regarding the cokernel in $\sf{Ring}$ of $\mathbb{Z} \hookrightarrow \mathbb{Q}$

Published on 12 Apr 2026 - 0:44

List Question

Coproduct in category of pointed spaces

Showing that the direct product does not satisfy the universal property of the direct sum

If the category $J$ has an initial object $s$, prove that every functor $F: J \rightarrow C$ to any category $C$ has a limit, namely $F(s)$.

What's the difference between a cartesian monoidal category and a semicartesian monoidal category?

Reference textbook developing NBG set theory

examples of additive categories which have morphism that has no kernel and morphism has no cokernels.

Lang Category Theory

Lang Universal Objects

Determining final and initial object in a certain category

"Identity-free" definition of an isomorphism in a semigroupoid / semicategory

How does Yoneda lemma give that the natural isomorphism $\operatorname{hom}(A,-)\cong\operatorname{hom}(B,-)$ implies $A\cong B$?

A question regarding Yoneda's lemma.

Equivalence of categories $\Pi_1:\mathbf{K^1_{CW,*}}\to \mathbf{Grp}$

Computation of adjoint functors (sheafification)

Aluffi, Exercise 2.12, regarding the cokernel in $\sf{Ring}$ of $\mathbb{Z} \hookrightarrow \mathbb{Q}$

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