User Joseph Van Name

201 votes

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Why do roots of polynomials tend to have absolute value close to 1?

answered Oct 3, 2014 at 1:44

34 votes

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Which powers of the closed unit interval are homeomorphic?

answered Jun 2, 2014 at 9:22

33 votes

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Which sets occur as boundaries of other sets in topological spaces?

answered Jul 11, 2014 at 3:09

28 votes

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First-order axiomatization of free groups

answered May 27, 2013 at 10:20

26 votes

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"Make all numbers equal" game

answered Aug 6, 2023 at 17:12

22 votes

Do rings of smooth functions differ from rings of continuous functions?

answered Oct 3, 2022 at 0:37

21 votes

Connectedness in the language of path-connectedness

answered Mar 24, 2015 at 15:28

21 votes

Proposals for polymath projects

answered Jul 14, 2016 at 18:07

21 votes

Injectivity implies surjectivity

answered Jul 4, 2017 at 14:40

19 votes

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Images of $\{0,1\}^\kappa$

answered Mar 18, 2015 at 13:16

19 votes

What is your favorite proof of Tychonoff's Theorem?

answered Nov 19, 2012 at 12:04

17 votes

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Stone–Čech Compactification of $\mathbb{Z}$ with Fürstenberg Topology

answered Mar 27, 2013 at 14:16

16 votes

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Is it consistent with ZFC that some translation-invariant extension of Lebesgue measure assigns nonzero measure to some set of cardinality $<\frak c$?

answered Mar 25, 2013 at 21:41

16 votes

Complete Boolean algebra not isomorphic to a $\sigma$-algebra

answered Feb 21, 2014 at 20:55

16 votes

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When can we divide continuous functions?

answered Aug 1, 2022 at 4:50

15 votes

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Is the class of n-dimensional manifolds essentially small?

answered Oct 4, 2013 at 13:46

14 votes

Structures that turn out to exhibit a symmetry even though their definition doesn't

answered Mar 26, 2014 at 16:04

14 votes

Old books still used

answered Dec 28, 2012 at 22:20

14 votes

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Forward definition of measurability

answered Aug 27, 2023 at 13:03

14 votes

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Uniform density of Lipschitz maps is space of continuous function — for general metric spaces

answered Oct 25, 2022 at 21:38

13 votes

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Does a generic linear map admit a vector whose iterates span $V$?

answered Feb 7 at 23:54

13 votes

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Maximal ideals of the algebra of measurable functions

answered Feb 19, 2013 at 6:31

13 votes

Defining a topology in the Power Set

answered Jun 7, 2013 at 7:46

13 votes

totally disconnected and zero-dimensional spaces

answered Jun 19, 2013 at 19:08

13 votes

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Generalizations of the Tietze extension theorem (and Lusin's theorem)

answered Jul 12, 2013 at 21:42

13 votes

Isomorphic rings of functions

answered Aug 25, 2013 at 11:37

13 votes

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What is the maximal number of distinct values of the product of n permuted ordinals

answered Aug 28, 2014 at 14:36

13 votes

Which sigma-ideals in a sigma-algebra are ideals of null sets?

answered Jan 8, 2014 at 20:01

12 votes

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Is there a suitably generalized Baire property for topological spaces of arbitrary cardinalities?

answered Dec 21, 2013 at 5:33

12 votes

Importance of separability vs. second-countability

answered May 19, 2013 at 5:59

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423 Answers

Why do roots of polynomials tend to have absolute value close to 1?

Which powers of the closed unit interval are homeomorphic?

Which sets occur as boundaries of other sets in topological spaces?

First-order axiomatization of free groups

"Make all numbers equal" game

Do rings of smooth functions differ from rings of continuous functions?

Connectedness in the language of path-connectedness

Proposals for polymath projects

Injectivity implies surjectivity

Images of $\{0,1\}^\kappa$

What is your favorite proof of Tychonoff's Theorem?

Stone–Čech Compactification of $\mathbb{Z}$ with Fürstenberg Topology

Is it consistent with ZFC that some translation-invariant extension of Lebesgue measure assigns nonzero measure to some set of cardinality $<\frak c$?

Complete Boolean algebra not isomorphic to a $\sigma$-algebra

When can we divide continuous functions?

Is the class of n-dimensional manifolds essentially small?

Structures that turn out to exhibit a symmetry even though their definition doesn't

Old books still used

Forward definition of measurability

Uniform density of Lipschitz maps is space of continuous function — for general metric spaces

Does a generic linear map admit a vector whose iterates span $V$?

Maximal ideals of the algebra of measurable functions

Defining a topology in the Power Set

totally disconnected and zero-dimensional spaces

Generalizations of the Tietze extension theorem (and Lusin's theorem)

Isomorphic rings of functions

What is the maximal number of distinct values of the product of n permuted ordinals

Which sigma-ideals in a sigma-algebra are ideals of null sets?

Is there a suitably generalized Baire property for topological spaces of arbitrary cardinalities?

Importance of separability vs. second-countability