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48 votes

Is there an infinite topological space with only countably many continuous maps to itself?

general-topology cardinals asked Aug 23, 2021 at 14:42
math.stackexchange.com

25 votes

Is there an infinite topological space with only countably many continuous functions to itself?

gn.general-topology asked Mar 21, 2022 at 17:21
mathoverflow.net

18 votes

Is there a topological space of cardinality $\kappa$ containing all metric spaces of cardinality $\kappa$?

general-topology set-theory asked Mar 31, 2021 at 19:39
math.stackexchange.com

12 votes

Is there a nonstandard model of Peano's arithmetic where any element has only finitely many prime divisors?

logic model-theory peano-axioms asked Feb 17, 2022 at 0:22
math.stackexchange.com

11 votes

In a metric space, is every open subset a non-redundant union of open balls?

general-topology metric-spaces asked Jul 31, 2021 at 11:50
math.stackexchange.com

10 votes

Is there a symmetric embedding of the torus in $\mathbb{R}^3$?

algebraic-topology geometric-topology asked Feb 10, 2022 at 11:03
math.stackexchange.com

8 votes

To get all open sets in $\mathbb{R}^n$ with a unique polynomial

polynomials diophantine-equations first-order-logic model-theory asked Feb 12, 2022 at 12:58
math.stackexchange.com

6 votes

Is there a quadratically closed field strictly between the quadratic closures of $\mathbb{Q}$ and $\mathbb{Q}(\sqrt[3]{2})$?

abstract-algebra field-theory extension-field asked Nov 10, 2021 at 16:57
math.stackexchange.com

5 votes

What is the Galois group of $x^n + 2x^{n-1} + \dots + nx - 1$?

abstract-algebra field-theory galois-theory galois-extensions asked Mar 16, 2022 at 21:56
math.stackexchange.com


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