Adam Przeździecki's user avatar
Adam Przeździecki's user avatar
Adam Przeździecki's user avatar
Adam Przeździecki
  • Member for 12 years, 8 months
  • Last seen this week
42 votes

The most outrageous (or ridiculous) conjectures in mathematics

6 votes
Accepted

Abelian groups such that $A \cong \mathrm{End}(A)$ and "complete rings"

7 votes
Accepted

The number of distinct closed subgroups of a compact monothetic group

12 votes

Realizing a monoid as $\mathrm{End}(G)$ for some graph $G$

3 votes
Accepted

Complete minors of the grid graphs $\mathbb{Z}^n$

5 votes

Do a Hausdorff space and its associated completely regular space have the same Borel subsets?

12 votes

Does every set $X$ have a topology for which the only continuous self-surjection is the identity map?

6 votes
Accepted

An infinite subset in $3^\omega$ with "large" projections?

1 vote
Accepted

Localization of the pullback diagram

2 votes

Generalized Cauchy-Binet sum over a fixed subset of indices

4 votes

Is an associative division algebra required for this phenomenon?

1 vote
Accepted

Complete non-isomorphic lattices with injective complete homomorphisms between them?

19 votes
Accepted

Non-homeomorphic spaces such that taking away a point makes them homeomorphic

4 votes
Accepted

Subsequence and integers as a sum of $\frac{1}{n}$

8 votes
Accepted

Avoiding countable subgroups of a group homeomorphic to the Cantor space

4 votes

Space $X$ such that $X^\lambda\cong X$ for some $\lambda$

10 votes
Accepted

Uncountably many countable graphs with no homomorphism between them

4 votes

Hausdorff space $X$ with $X\cong [X]^2$

8 votes
Accepted

Closure of the graph of a function

3 votes
Accepted

Is there a compact connected Hausdorff space in which every non-empty $G_\delta$ set has non-empty interior?

4 votes

Is a topology determined by its convergent sequences?

4 votes
Accepted

Is the absolute of a compact space the projective limit of the Stone-Čech compactifications of its open dense subsets?

7 votes
Accepted

Nearly slender abelian groups

13 votes
Accepted

The existence of non-trivial homomorphisms $\prod_{n=1}^{\infty}\mathbb{Z}/\bigoplus_{n=1}^{\infty}\mathbb{Z}\to\mathbb{Z}/p\mathbb{Z}$

13 votes

Determinants in Graph Theory

5 votes

Maximal chains in vector space and its dimension

6 votes
Accepted

Homology groups of divisible and powered (nilpotent) groups

1 vote

Simultaneous diophantine approximation

6 votes

Example of an infinite abelian but non-cyclic group whose automorphism group is cyclic