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Taras Banakh's user avatar
Taras Banakh's user avatar
Taras Banakh's user avatar
Taras Banakh
  • Member for 10 years, 1 month
  • Last seen this week
51 votes
3 answers
3k views

Is each squared finite group trivial?

47 votes
3 answers
3k views

A metric characterization of the real line

43 votes
0 answers
819 views

A kaleidoscopic coloring of the plane

34 votes
2 answers
2k views

Are the Sierpiński cardinal $\acute{\mathfrak n}$ and its measure modification $\acute{\mathfrak m}$ equal to some known small uncountable cardinals?

29 votes
1 answer
1k views

Is the Golomb countable connected space topologically rigid?

28 votes
8 answers
6k views

Mathematical journals that accept long papers (up to 100 pages)

25 votes
2 answers
1k views

The number of polynomials on a finite group

24 votes
3 answers
3k views

How to find a conformal map of the unit disk on a given simply-connected domain

20 votes
2 answers
729 views

Multiple roots of polynomials with coefficients $\pm 1$

19 votes
6 answers
1k views

Almost squared finite groups

19 votes
1 answer
465 views

Large Borel antichains in the Cantor cube?

18 votes
1 answer
425 views

Partitions of the real line into Borel subsets

17 votes
1 answer
429 views

Axiom of Countable Choice and meager sets

17 votes
1 answer
1k views

Has the exponentiation of ordinals a nice geometric model?

17 votes
1 answer
794 views

Is there a continuous function $f:\mathbb R^\omega\to\mathbb R$ with injective restriction $f|\mathbb Q^\omega$?

17 votes
3 answers
1k views

A Shelah group in ZFC?

16 votes
2 answers
731 views

A reference to a characterization of metric spaces admitting an isometric embedding into a Hilbert space

16 votes
0 answers
372 views

On projectively countable sets in the Hilbert cube

16 votes
1 answer
618 views

A textbook on foundations of geometry in spirit of Tarski

16 votes
1 answer
783 views

Who first proved that algebraic numbers form an algebraically closed field?

16 votes
1 answer
2k views

A contradiction in the Set Theory of von Neumann–Bernays–Gödel?

15 votes
0 answers
409 views

Is there a continuous map $f:\mathbb R^\omega\to\mathbb R^\omega$ with dense countable preimage $f^{-1}(\mathbb Q^\omega)$?

15 votes
1 answer
417 views

What is the smallest cardinality of a self-linked set in a finite cyclic group?

14 votes
1 answer
523 views

Is Bing's countable connected space topologically homogeneous?

14 votes
1 answer
295 views

Is $Alt_\omega$ a dense subgroup of a non-discrete locally compact topological group?

14 votes
2 answers
400 views

A finite group that has no decomposition of given cardinality

14 votes
1 answer
581 views

How flexible is the infinite-dimensional torus?

13 votes
1 answer
669 views

Topological groups containing the Sorgenfrey line

13 votes
1 answer
442 views

Is the identity function a unique multiplicative homeomorphism of $\mathbb N$?

13 votes
1 answer
3k views

A good reference to the general Chinese Remainder Theorem

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