List questions from examples-counterexamples

Published on 15 Apr 2026 - 7:14

29

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Prove or disprove the following statement on the spectrum of $p(A,A^*).$

Published on 14 Apr 2026 - 14:34

81

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How to interpret strongly/weakly infinite dimensional spaces and what are some examples?

Published on 26 Mar 2026 - 17:31

45

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Find ideals $I,J\subset F[x_1,x_2,\cdots x_n]$ such that $V(I)=V(J)$ but $I\neq J$

Published on 17 Apr 2026 - 7:53

260

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A nonsmooth manifold example of smooth manifold

Published on 14 Apr 2026 - 3:38

215

Views

Iterated derivatives and polynomials that are the power of a linear polynomial

Published on 13 Apr 2026 - 14:57

184

Views

If $G$ is a group and $3$ consecutive integers $i$ s.t. $(ab)^i=a^ib^i$ for all $a,b\in G$, then $G$ is abelian. (Finding examples)

Published on 16 Apr 2026 - 7:00

256

Views

Do some cyclic subgroups "partition" a group?

Published on 09 Apr 2026 - 11:16

473

Views

Counterexamples of Matrices

Published on 15 Apr 2026 - 22:53

181

Views

Example of a Hausdorff topology that is homeomorphic to $\mathbb R^n$ but isn't second countable?

Published on 26 Mar 2026 - 1:25

265

Views

Why $C^{\infty}[0,1]$ with natural topology can not be normalized.

Published on 15 Apr 2026 - 0:03

101

Views

Primality criterion for Mersenne numbers involving Euler's totient function

Published on 11 Apr 2026 - 10:51

62

Views

(Dis)proving $(\operatorname{Int}(A))'=A'$.

Published on 11 Apr 2026 - 11:45

268

Views

Cauchy-Riemann equations and required continuity of derivatives

Published on 13 Apr 2026 - 21:38

59

Views

Is conditional expectation of $2$ dependent normal r.v. a normal r.v.?

Published on 24 Apr 2026 - 13:58

List Question

A question on the size of the topology with respect to the sequential convergence.

Prove or disprove the following statement on the spectrum of $p(A,A^*).$

How to interpret strongly/weakly infinite dimensional spaces and what are some examples?

Find ideals $I,J\subset F[x_1,x_2,\cdots x_n]$ such that $V(I)=V(J)$ but $I\neq J$

A nonsmooth manifold example of smooth manifold

Iterated derivatives and polynomials that are the power of a linear polynomial

If $G$ is a group and $3$ consecutive integers $i$ s.t. $(ab)^i=a^ib^i$ for all $a,b\in G$, then $G$ is abelian. (Finding examples)

Do some cyclic subgroups "partition" a group?

Counterexamples of Matrices

Example of a Hausdorff topology that is homeomorphic to $\mathbb R^n$ but isn't second countable?

Why $C^{\infty}[0,1]$ with natural topology can not be normalized.

Primality criterion for Mersenne numbers involving Euler's totient function

(Dis)proving $(\operatorname{Int}(A))'=A'$.

Cauchy-Riemann equations and required continuity of derivatives

Is conditional expectation of $2$ dependent normal r.v. a normal r.v.?

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