List questions from proof-verification

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Every $T_3$ space is $T_2$

Published on 25 Mar 2026 - 2:32

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Prove $O(2)$ is non-abelian?

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$f$ has no interior extreme point, therefore, $f$ is strictly increasing or decreasing function

Published on 22 Mar 2018 - 13:39

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If $U$ is simply connected and $u: U\to\Bbb R$ is harmonic then it have a conjugate in $U$

Published on 25 Mar 2026 - 20:36

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Prove that $\mathbb{Z}\times\mathbb{N}$ is not isomorphic to $\mathbb{Z}\times\mathbb{Z}$ (both strictly ordered): is my proof correct?

Published on 22 Mar 2018 - 14:42

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Continuous function over compact subset and non-degenerate critical points

Published on 27 Mar 2026 - 18:26

227

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$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

Published on 25 Mar 2026 - 19:09

498

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Prob. 2, Sec. 3.3, in INTRO. TO REAL ANALYSIS by Bartle & Sherbert: What is the limit of this sequence?

Published on 22 Mar 2018 - 17:06

94

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Heine theorem proof

Published on 22 Mar 2018 - 17:22

819

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Proof Verification: $\frac{(-1)^{n}n}{n+1}$ diverges

Published on 22 Mar 2018 - 19:16

956

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How to determine whether a sequence converges or diverges

Published on 22 Mar 2018 - 22:08

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Proving the set of real numbers is uncountable

Published on 22 Mar 2018 - 22:36

26

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can you reduce the order of an equality expression with infinite groups?

Published on 23 Mar 2018 - 0:13

454

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Verification of proof if $C$ is a positively oriented circle and $z_{0}$ lies outside $C$

Published on 23 Mar 2018 - 0:29

List Question

Equilibrium temperature distribution in PDE in polar coordinates

Every $T_3$ space is $T_2$

Prove $O(2)$ is non-abelian?

$f$ has no interior extreme point, therefore, $f$ is strictly increasing or decreasing function

If $U$ is simply connected and $u: U\to\Bbb R$ is harmonic then it have a conjugate in $U$

Prove that $\mathbb{Z}\times\mathbb{N}$ is not isomorphic to $\mathbb{Z}\times\mathbb{Z}$ (both strictly ordered): is my proof correct?

Continuous function over compact subset and non-degenerate critical points

$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

Prob. 2, Sec. 3.3, in INTRO. TO REAL ANALYSIS by Bartle & Sherbert: What is the limit of this sequence?

Heine theorem proof

Proof Verification: $\frac{(-1)^{n}n}{n+1}$ diverges

How to determine whether a sequence converges or diverges

Proving the set of real numbers is uncountable

can you reduce the order of an equality expression with infinite groups?

Verification of proof if $C$ is a positively oriented circle and $z_{0}$ lies outside $C$

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