User George Lowther

62 votes

Can you explicitly write $\mathbb{R}^2$ as a disjoint union of two totally path disconnected sets?

answered Oct 9, 2009 at 23:10

60 votes

Accepted

Mean minimum distance for N random points on a one-dimensional line

answered Oct 19, 2009 at 23:11

56 votes

Accepted

Unconditional nonexistence for the heat equation with rapidly growing data?

answered Aug 6, 2011 at 2:03

47 votes

What's your favorite equation, formula, identity or inequality?

answered Oct 29, 2009 at 23:32

47 votes

Does a power series converging everywhere on its circle of convergence define a continuous function?

answered Dec 21, 2012 at 2:12

40 votes

Accepted

Does Euclidean space have a compact factor?

answered Dec 16, 2011 at 23:44

37 votes

Accepted

Does there exist a measurable function which is not a.e. "strongly" measurable?

answered Feb 6, 2011 at 16:03

32 votes

Accepted

are there infinitely many triples of consecutive square-free integers?

answered Mar 27, 2011 at 19:21

29 votes

Is there a measure zero set which isn't meagre?

answered Oct 25, 2010 at 20:12

27 votes

Accepted

Is every locally connected subset of Euclidean space R^n locally path connected ?

answered Nov 20, 2010 at 18:29

27 votes

Accepted

Integrability of the Cohen map

answered Apr 17, 2012 at 20:51

26 votes

Why should I believe the Mordell Conjecture?

answered Feb 19, 2011 at 21:59

26 votes

Non-Borel sets without axiom of choice

answered Jul 22, 2010 at 0:30

25 votes

Polynomial representing all nonnegative integers

answered Nov 26, 2010 at 0:44

24 votes

Accepted

On the global structure of the Gromov-Hausdorff metric space

answered Jul 30, 2015 at 2:56

23 votes

Accepted

Can every uncountable subset $\mathbb{R}$ be split at some number into two parts of the same cardinality?

answered Dec 17, 2011 at 2:15

23 votes

Accepted

Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?

answered Oct 26, 2010 at 22:49

23 votes

Gaussian processes, sample paths and associated Hilbert space.

answered Mar 27, 2011 at 20:26

23 votes

Accepted

A question of Erdős on equidistribution

answered Jun 6, 2010 at 1:38

22 votes

Accepted

Have all numbers with "sufficiently many zeros" been proven transcendental?

answered Oct 11, 2010 at 8:22

22 votes

Accepted

When are complex polynomial maps almost surjective?

answered Mar 11, 2011 at 22:55

21 votes

When are probability distributions completely determined by their moments?

answered Oct 31, 2009 at 15:49

19 votes

Polish spaces in probability

answered Apr 11, 2010 at 0:44

19 votes

Upper bounds for the sum of primes up to $n$

answered Apr 29, 2011 at 15:15

19 votes

Accepted

Anti-concentration of Bernoulli sums

answered Jan 29, 2011 at 3:58

19 votes

Accepted

Rooks in three dimensions

answered Jun 10, 2012 at 21:24

18 votes

Accepted

Order type of the smallest set containing the identity function and closed under exponentiation

answered May 23, 2013 at 1:50

18 votes

Accepted

A Markov process which is not a strong markov process?

answered Oct 27, 2010 at 17:24

17 votes

Accepted

Is Krull dimension non-increasing along ring epimorphisms?

answered Jan 16, 2011 at 2:12

17 votes

Accepted

Bochner integral of stochastic process = path by path Lebesgue integral?

answered Oct 29, 2012 at 22:40

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109 Answers

Can you explicitly write $\mathbb{R}^2$ as a disjoint union of two totally path disconnected sets?

Mean minimum distance for N random points on a one-dimensional line

Unconditional nonexistence for the heat equation with rapidly growing data?

What's your favorite equation, formula, identity or inequality?

Does a power series converging everywhere on its circle of convergence define a continuous function?

Does Euclidean space have a compact factor?

Does there exist a measurable function which is not a.e. "strongly" measurable?

are there infinitely many triples of consecutive square-free integers?

Is there a measure zero set which isn't meagre?

Is every locally connected subset of Euclidean space R^n locally path connected ?

Integrability of the Cohen map

Why should I believe the Mordell Conjecture?

Non-Borel sets without axiom of choice

Polynomial representing all nonnegative integers

On the global structure of the Gromov-Hausdorff metric space

Can every uncountable subset $\mathbb{R}$ be split at some number into two parts of the same cardinality?

Is arbitrary union of closed balls in $\mathbb{R}^n$ Lebesgue measurable?

Gaussian processes, sample paths and associated Hilbert space.

A question of Erdős on equidistribution

Have all numbers with "sufficiently many zeros" been proven transcendental?

When are complex polynomial maps almost surjective?

When are probability distributions completely determined by their moments?

Polish spaces in probability

Upper bounds for the sum of primes up to $n$

Anti-concentration of Bernoulli sums

Rooks in three dimensions

Order type of the smallest set containing the identity function and closed under exponentiation

A Markov process which is not a strong markov process?

Is Krull dimension non-increasing along ring epimorphisms?

Bochner integral of stochastic process = path by path Lebesgue integral?