Question

Dense subset of the plane that intersects every rational line at precisely one point?

score 404 · Answer 1 · 2026-03-29 04:47:26

404

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Dense subset of the plane that intersects every rational line at precisely one point?

Published on 29 Mar 2026 - 4:47

score 361 · Answer 2 · 2011-10-12 11:32:51

361

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Axiom of choice and Topology?

Published on 12 Oct 2011 - 11:32

score 323 · Answer 3 · 2011-10-12 23:59:13

323

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Simple functions and axiom of choice

Published on 12 Oct 2011 - 23:59

score 1.2k · Answer 4 · 2011-10-13 16:11:12

1.2k

Views

Compact but not sequentially compact question

Published on 13 Oct 2011 - 16:11

score 539 · Answer 5 · 2011-10-18 21:03:06

539

Views

Does Zorn Lemma imply the existence of a (not unique) maximal prolongation of any solution of an ode?

Published on 18 Oct 2011 - 21:03

score 442 · Answer 6 · 2011-10-20 14:02:15

442

Views

How does this statement on posets follow from Zorn's lemma?

Published on 20 Oct 2011 - 14:02

score 2.8k · Answer 7 · 2011-10-21 20:58:31

2.8k

Views

Axiom of choice, non-measurable sets, countable unions

Published on 21 Oct 2011 - 20:58

score 1.5k · Answer 8 · 2011-11-05 01:56:46

1.5k

Views

A concrete example of a choice function

Published on 05 Nov 2011 - 1:56

score 642 · Answer 9 · 2026-03-29 12:11:18

642

Views

$F$ is a free abelian group on a set $X$ , $H \subseteq F$ is a free abelian group on $Y$, then $|Y| \leq |X|$

Published on 29 Mar 2026 - 12:11

score 3.8k · Answer 10 · 2011-11-24 06:09:56

3.8k

Views

How do I choose an element from a non-empty set?

Published on 24 Nov 2011 - 6:09

score 1.7k · Answer 11 · 2011-11-28 22:41:37

1.7k

Views

When is the pullback of a linear injection a surjection on dual space?

Published on 28 Nov 2011 - 22:41

score 1.4k · Answer 12 · 2011-12-07 10:25:08

1.4k

Views

axiom of choice: cardinality of general disjoint union

Published on 07 Dec 2011 - 10:25

score 2.8k · Answer 13 · 2011-12-08 17:54:12

2.8k

Views

Constructive proof of the existence of an algebraic closure

Published on 08 Dec 2011 - 17:54

score 1.8k · Answer 14 · 2026-03-25 20:11:15

1.8k

Views

Does proving (second countable) $\Rightarrow$ (Lindelöf) require the axiom of choice?

Published on 25 Mar 2026 - 20:11

score 631 · Answer 15 · 2011-12-11 13:01:07

631

Views

How different are inductively ordered set from posets that satisfy the ascending chain condition?

Published on 11 Dec 2011 - 13:01

List Question

Dense subset of the plane that intersects every rational line at precisely one point?

Axiom of choice and Topology?

Simple functions and axiom of choice

Compact but not sequentially compact question

Does Zorn Lemma imply the existence of a (not unique) maximal prolongation of any solution of an ode?

How does this statement on posets follow from Zorn's lemma?

Axiom of choice, non-measurable sets, countable unions

A concrete example of a choice function

$F$ is a free abelian group on a set $X$ , $H \subseteq F$ is a free abelian group on $Y$, then $|Y| \leq |X|$

How do I choose an element from a non-empty set?

When is the pullback of a linear injection a surjection on dual space?

axiom of choice: cardinality of general disjoint union

Constructive proof of the existence of an algebraic closure

Does proving (second countable) $\Rightarrow$ (Lindelöf) require the axiom of choice?

How different are inductively ordered set from posets that satisfy the ascending chain condition?

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