Question

$\operatorname{Hom}(X \times Z, Y) \cong \operatorname{Hom}(X, \operatorname{Map}(Z, Y))$ is not true in $\textbf{Top}$

score 396 · Answer 1 · 2026-04-13 19:52:21

396

Views

$\operatorname{Hom}(X \times Z, Y) \cong \operatorname{Hom}(X, \operatorname{Map}(Z, Y))$ is not true in $\textbf{Top}$

Published on 13 Apr 2026 - 19:52

score 196 · Answer 2 · 2026-04-21 12:50:56

196

Views

Exactness of a sequence in Abelian category

Published on 21 Apr 2026 - 12:50

score 73 · Answer 3 · 2026-04-14 23:15:58

73

Views

In short exact sequence $0 \to A \xrightarrow{f} B \xrightarrow{g} C \to 0$, prove $f: A \to B$ is a kernel of $g$

Published on 14 Apr 2026 - 23:15

score 77 · Answer 4 · 2026-04-11 13:07:27

77

Views

How to show that $E_i \to E_j \to E=E_i \to E$ for $i<j$

Published on 11 Apr 2026 - 13:07

score 164 · Answer 5 · 2026-04-21 15:20:08

164

Views

Alternate definition of Group Object, and how to 'play' with it?

Published on 21 Apr 2026 - 15:20

score 70 · Answer 6 · 2026-03-28 08:28:07

70

Views

Closure condition for a subpresheaf being closed.

Published on 28 Mar 2026 - 8:28

score 171 · Answer 7 · 2026-04-21 03:03:58

171

Views

What is the Functor of the category of Boolean prealgebras (BpA)?

Published on 21 Apr 2026 - 3:03

score 88 · Answer 8 · 2026-04-17 19:41:42

88

Views

Hom sets in abelian categories

Published on 17 Apr 2026 - 19:41

score 106 · Answer 9 · 2026-04-11 19:32:42

106

Views

Kernel for Hom implies kernel

Published on 11 Apr 2026 - 19:32

score 104 · Answer 10 · 2026-04-12 00:16:00

104

Views

Subalgebra of an F-algebra

Published on 12 Apr 2026 - 0:16

score 72 · Answer 11 · 2026-04-14 16:19:34

72

Views

Construction of an initial algebra from a weakly initial algebra

Published on 14 Apr 2026 - 16:19

score 112 · Answer 12 · 2026-03-25 23:56:31

112

Views

Dense subsets of Colimit

Published on 25 Mar 2026 - 23:56

score 39 · Answer 13 · 2026-04-14 04:52:00

39

Views

What does 'one-one correlation' mean in the context of Category Theory (Peter Smith's Gentle Intro to Category Theory)?

Published on 14 Apr 2026 - 4:52

score 69 · Answer 14 · 2026-03-25 21:01:33

69

Views

(Dual Question) Dense subsets of Limit

Published on 25 Mar 2026 - 21:01

score 100 · Answer 15 · 2026-03-10 10:00:19

100

Views

Which limit sketches produce Grothendieck toposes?

Published on 10 Mar 2026 - 10:00

List Question

$\operatorname{Hom}(X \times Z, Y) \cong \operatorname{Hom}(X, \operatorname{Map}(Z, Y))$ is not true in $\textbf{Top}$

Exactness of a sequence in Abelian category

In short exact sequence $0 \to A \xrightarrow{f} B \xrightarrow{g} C \to 0$, prove $f: A \to B$ is a kernel of $g$

How to show that $E_i \to E_j \to E=E_i \to E$ for $i<j$

Alternate definition of Group Object, and how to 'play' with it?

Closure condition for a subpresheaf being closed.

What is the Functor of the category of Boolean prealgebras (BpA)?

Hom sets in abelian categories

Kernel for Hom implies kernel

Subalgebra of an F-algebra

Construction of an initial algebra from a weakly initial algebra

Dense subsets of Colimit

What does 'one-one correlation' mean in the context of Category Theory (Peter Smith's Gentle Intro to Category Theory)?

(Dual Question) Dense subsets of Limit

Which limit sketches produce Grothendieck toposes?

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