User Sam Forster

15 votes

1 answer

757 views

Does there exist a nowhere smooth function, that has arbitrary many derivatives?

asked Dec 1 at 20:16

8 votes

2 answers

432 views

Can an Osgood curve be almost everywhere differentiable?

asked Jun 18, 2022 at 14:58

6 votes

1 answer

319 views

Does approximately Fréchet differentiable imply approximately Gateaux differentiable?

asked Sep 15, 2022 at 17:21

6 votes

1 answer

245 views

If degree $N$ polynomials always have a root, does there still exist an irreducible polynomial of degree $N+1$?

asked Aug 1, 2023 at 10:29

5 votes

2 answers

788 views

Do non-zero derivatives imply tangent lines (and vice versa)?

asked Oct 3, 2022 at 16:58

4 votes

1 answer

286 views

Can a halting oracle determine if a Turing machine is an ordinal?

asked Aug 30, 2023 at 13:09

3 votes

0 answers

119 views

Is (the generalised) Sard's theorem optimal?

asked Sep 18, 2022 at 13:29

3 votes

0 answers

148 views

Can the Banach-Tarski paradox or Tarski's circle-squaring problem be done with hinges?

asked Sep 24, 2022 at 13:04

Stack Exchange Network

8 Questions

Does there exist a nowhere smooth function, that has arbitrary many derivatives?

Can an Osgood curve be almost everywhere differentiable?

Does approximately Fréchet differentiable imply approximately Gateaux differentiable?

If degree $N$ polynomials always have a root, does there still exist an irreducible polynomial of degree $N+1$?

Do non-zero derivatives imply tangent lines (and vice versa)?

Can a halting oracle determine if a Turing machine is an ordinal?

Is (the generalised) Sard's theorem optimal?

Can the Banach-Tarski paradox or Tarski's circle-squaring problem be done with hinges?