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69
Mathematical “urban legends”
Jan 31 '11 at 18:53
54
Which math paper maximizes the ratio (importance)/(length)?
Oct 29 '11 at 22:39
27
Linear Algebra without Choice
Sep 19 '13 at 22:24
24
How much of GCH do we need to guarantee well-ordering of continuum?
Jul 2 '14 at 7:44
21
When was the continuum hypothesis born?
Jul 6 '13 at 8:50
19
Hahn's Embedding Theorem and the oldest open question in set theory
Apr 27 '13 at 23:01
18
Non continuous Linear form on $E=C([0,1],\mathbb{R})$ without AC
Oct 14 '13 at 17:55
18
Compactness of the Hilbert cube without the Axiom of Choice
Jan 19 '13 at 21:54
17
Linear maps between arbitrarily chosen vectors of vector spaces $V$ and $W$
Mar 24 '14 at 9:20
16
Replacing Axiom of Choice with Axiom of Countable Choice
Nov 10 '15 at 4:53
15
Does “cardinal arithmetic is well-defined” imply axiom of choice?
Aug 2 '15 at 11:51
15
Difference between ZFC and ZF+GCH
Oct 31 '14 at 14:53
15
Weak forms of the Axiom of Choice
Feb 9 '14 at 8:11
14
Do Measurable Cardinals Exist? (assuming ZFC)
Jul 8 '13 at 21:36
13
Notions of infinity in $\mathsf{ZF}$ without choice
Mar 30 '15 at 7:38
13
Is not SH + not CH consistent?
Aug 9 '14 at 10:24
13
Can $\mathbb{R}$ be partitioned into dedekind-finite sets?
Feb 9 '14 at 5:31
13
Not especially famous, long-open problems which higher mathematics beginners can understand
Feb 22 '13 at 23:27
13
Most memorable titles
May 8 '11 at 14:59
12
Is $\mathbb{R}$ a $\mathbb{C}$-module without AC?
Sep 18 '14 at 7:52
12
A question about the Axiom of Choice
Jul 6 '13 at 18:50
12
Does a nonlinear additive function on R imply a Hamel basis of R?
Apr 20 '13 at 19:19
12
Trichotomies in mathematics
Feb 3 '13 at 14:32
12
Mathematics with the negation of AC
Jan 22 '13 at 14:11
12
Axiom of choice and bases of vector spaces over a fixed field
Jun 27 '11 at 20:23
11
Exponentiation and Dedekind-finite cardinals
Aug 26 '14 at 13:41
11
Discontinuous representations of GL(n,C) in ZF
Nov 25 '13 at 22:10
11
ZF + the reals are the countable union of countable sets consistent
Jun 26 '12 at 22:33
11
Examples of undergraduate mathematics separation from what mathematicians should know
Jul 6 '10 at 18:17
10
Is there a “natural” bijection between models of $ZFC$ and $ZF\neg C$?
Dec 18 '14 at 19:54
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