Question

Let $k$ be a field and $V$ a $k$-vector space of infinite dimension, then $V$ and $V^{*}$ are not isomorphic.

score 147 · Answer 1 · 2019-09-24 18:14:19

147

Views

Let $k$ be a field and $V$ a $k$-vector space of infinite dimension, then $V$ and $V^{*}$ are not isomorphic.

Published on 24 Sep 2019 - 18:14

score 73 · Answer 2 · 2019-09-24 19:48:28

73

Views

Show that if $f$,$g$ are iso arrows, then $f\circ g$ is too.

Published on 24 Sep 2019 - 19:48

score 60 · Answer 3 · 2026-04-01 03:43:23

60

Views

Iteration operator and fixed points

Published on 01 Apr 2026 - 3:43

score 738 · Answer 4 · 2019-09-25 11:21:44

738

Views

$Ker(CoKer(f))$ satisfies the universal property of $im(f)$ for a morphism $f$ in Abelian category.

Published on 25 Sep 2019 - 11:21

score 131 · Answer 5 · 2019-09-25 20:20:55

131

Views

Show that an arrow $1\to a$ whose domain is a terminal object must be monic

Published on 25 Sep 2019 - 20:20

score 56 · Answer 6 · 2026-03-28 08:35:38

56

Views

Why is the class of isomorphisms perfect? Lurie, p.824

Published on 28 Mar 2026 - 8:35

score 373 · Answer 7 · 2026-03-26 21:59:59

373

Views

Projective and injective objects

Published on 26 Mar 2026 - 21:59

score 99 · Answer 8 · 2019-09-26 01:15:33

99

Views

When is examining only one direction of a bijective map $\phi:X\to Y$ enough to categorize it as an isomorphism?

Published on 26 Sep 2019 - 1:15

score 56 · Answer 9 · 2026-03-25 10:55:37

56

Views

Dinatural isomorphism from tangent functor to cotangent functor

Published on 25 Mar 2026 - 10:55

score 42 · Answer 10 · 2026-03-28 08:33:25

42

Views

Product of categorical equivalences.

Published on 28 Mar 2026 - 8:33

score 382 · Answer 11 · 2019-09-27 13:19:49

382

Views

How do you express coexponentials?

Published on 27 Sep 2019 - 13:19

score 317 · Answer 12 · 2019-09-27 14:02:56

317

Views

"Categorical" Schröder–Bernstein theorem?

Published on 27 Sep 2019 - 14:02

score 86 · Answer 13 · 2019-09-27 14:31:08

86

Views

Enriched dinaturality

Published on 27 Sep 2019 - 14:31

score 64 · Answer 14 · 2019-09-27 16:28:10

64

Views

A category with pullbacks clarification

Published on 27 Sep 2019 - 16:28

score 96 · Answer 15 · 2019-09-27 17:39:50

96

Views

What is the category of compact Hausdorff spaces with continuous functions?

Published on 27 Sep 2019 - 17:39

List Question

Let $k$ be a field and $V$ a $k$-vector space of infinite dimension, then $V$ and $V^{*}$ are not isomorphic.

Show that if $f$,$g$ are iso arrows, then $f\circ g$ is too.

Iteration operator and fixed points

$Ker(CoKer(f))$ satisfies the universal property of $im(f)$ for a morphism $f$ in Abelian category.

Show that an arrow $1\to a$ whose domain is a terminal object must be monic

Why is the class of isomorphisms perfect? Lurie, p.824

Projective and injective objects

When is examining only one direction of a bijective map $\phi:X\to Y$ enough to categorize it as an isomorphism?

Dinatural isomorphism from tangent functor to cotangent functor

Product of categorical equivalences.

How do you express coexponentials?

"Categorical" Schröder–Bernstein theorem?

Enriched dinaturality

A category with pullbacks clarification

What is the category of compact Hausdorff spaces with continuous functions?

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