tatin

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119

233

votes

4

answers

17k

views

Polynomial bijection from QxQ to Q?

nt.number-theory open-problem

apr 29 at 16:31 unknown (yahoo) 1

80

147

votes

8

answers

9k

views

Polynomial representing all nonnegative integers

nt.number-theory open-problem

nov 26 10 at 0:44 George Lowther 9,573●1●24●44

138

95

votes

129

answers

23k

views

Fundamental Examples

examples soft-question big-picture big-list ho.history-overview

aug 26 at 11:36 david 1

25

48

votes

3

answers

5k

views

Does the inverse function theorem hold for everywhere differentiable maps?

ca.analysis-and-odes gn.general-topology differentiability

mar 28 at 6:15 le yang 1

30

44

votes

12

answers

3k

views

Counterexamples in PDE

big-list ap.analysis-of-pdes counterexamples

jan 8 at 1:42 soulphysics 328●1●8

23

41

votes

1

answer

2k

views

A function whose fixed points are the primes

nt.number-theory ds.dynamical-systems open-problem

may 15 at 16:22 MathOverflow♦ 1●2●3

10

27

votes

2

answers

605

views

Square root of a positive $C^\infty$ function.

real-analysis

aug 25 at 4:40 Dick Palais 10k●1●38●61

5

17

votes

1

answer

552

views

Extremal points of the unit ball of M_n(R) …

matrices norms

mar 5 12 at 21:18 Denis Serre 18.7k●1●31●93

28

17

votes

7

answers

4k

views

Way to memorize relations between the Sobolev spaces?

fa.functional-analysis ca.analysis-and-odes

may 18 12 at 9:28 Liviu Nicolaescu 11.3k●1●20●33

5

14

votes

5

answers

1k

views

Given a polynomial f, can there be more than one constant c such that every root of f(x)-c is repeated?

ag.algebraic-geometry polynomials

nov 29 11 at 11:56 GH 15.1k●1●31●53

4

13

votes

1

answer

340

views

Counterexample to Sard Theorem for a not-C1 map

ca.analysis-and-odes dg.differential-geometry

nov 20 at 23:23 Sergei Ivanov 22.3k●45●94

3

13

votes

1

answer

673

views

Banach spaces with few linear operators ?

banach-spaces oa.operator-algebras

jul 5 10 at 20:26 Yemon Choi 8,446●1●19●44

6

10

votes

2

answers

608

views

Nonvanishing of Jacobians implies global injectivity?

reference-request ca.analysis-and-odes ds.dynamical-systems differential-topology matrices

aug 17 at 16:22 Marc Chamberland 147●5

6

10

votes

3

answers

2k

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A Hölder continuous function which does not belong to any Sobolev space

ca.analysis-and-odes ap.analysis-of-pdes

dec 5 at 21:47 Pietro Majer 19.7k●1●24●69

4

7

votes

2

answers

1k

views

Compact Embeddings of Sobolev Spaces: A Counterexample Showing The Rellich-Kondrachov Theorem Is Sharp

ap.analysis-of-pdes sobolev-spaces fa.functional-analysis

jul 11 at 1:59 Nagaraj 11●1