Dominik's user avatar
Dominik's user avatar
Dominik's user avatar
Dominik
  • Member for 9 years, 10 months
  • Last seen more than a month ago
224 votes
2 answers
8k views

Is there a 0-1 law for the theory of groups?

191 votes
5 answers
7k views

A Topology such that the continuous functions are exactly the polynomials

64 votes
2 answers
31k views

Is Serge Lang's Algebra still worth reading?

48 votes
2 answers
4k views

Is every group the automorphism group of a group?

34 votes
3 answers
5k views

Why should "graph theory be part of the education of every student of mathematics"?

33 votes
2 answers
1k views

Is $ \pi $ definable in $(\Bbb R,0,1,+,×, <,\exp) $?

30 votes
4 answers
3k views

If two non-overlapping squares inside a unit square have side lengths $a$ and $b$, prove that $a+b \le 1$.

24 votes
1 answer
959 views

Is $\Bbb R$ definable in $(\Bbb C,0,1,+,*,\exp)$?

23 votes
4 answers
2k views

What are the important theorems in the theory of dynamical systems?

19 votes
3 answers
2k views

Are there interesting rings without unity?

19 votes
1 answer
2k views

Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?

17 votes
1 answer
662 views

How confident can we be about the validity of the classification of finite simple groups?

17 votes
5 answers
3k views

Most astonishing applications of compactness theorem outside logic

16 votes
3 answers
3k views

Presentation of Rubik's Cube group

16 votes
1 answer
2k views

What are some examples of hard theorems in category theory?

16 votes
1 answer
251 views

Is almost any group generated by two generators?

15 votes
2 answers
953 views

Etymology of Tor and Ext Functors

15 votes
1 answer
796 views

A *finite* first order theory whose finite models are exactly the $\Bbb F_p$?

13 votes
4 answers
2k views

Counterexamples in complex analysis

13 votes
2 answers
2k views

Characteristic polynomial of a matrix with zeros on its diagonal

13 votes
3 answers
335 views

An explicit imbedding of $(R\mathbf{-Mod})^{op}$ into $S\mathbf{-Mod}$

12 votes
2 answers
1k views

Does every ring with unity arise as an endomorphism ring?

11 votes
1 answer
555 views

Are there exotic symplectic structures on $ S^2 $?

11 votes
1 answer
598 views

The smallest group with 3 generators

11 votes
3 answers
7k views

Do negative dimensions make sense? [duplicate]

10 votes
1 answer
400 views

Proving a geometric inequality without Lagrange multipliers

10 votes
1 answer
291 views

Is there a universal property for the ultraproduct?

10 votes
2 answers
701 views

Area enclosed by 2-dimensional random curve

10 votes
1 answer
248 views

Universal property characterizing $\Bbb R$

10 votes
1 answer
306 views

Maps of $\mathbb{R}^3$ commuting with the cross product