List questions from solution-verification

253

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Proof verification: If $B_{n} = \bigcup^n_{i=1} A_{i}$, prove that $\bar{B}_{n} = \bigcup^n_{i=1} \bar{A_{i}}$

Published on 15 Apr 2026 - 5:17

1.8k

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Why do we need prime ideals in the spectrum of a ring?

Published on 13 Apr 2026 - 15:23

88

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How do I show $[\mathbb{Q}(\alpha):\mathbb{Q}]=4$.

Published on 15 Apr 2026 - 4:57

37

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Implication of probabilistic ordering from convergence in probability

Published on 11 Apr 2026 - 1:11

110

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Shifting index while calculating expected value

Published on 12 Apr 2026 - 2:06

182

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[Proof Verification]: $\overline{A\times B}=\overline{A}\times\overline{B}$

Published on 15 Apr 2026 - 3:12

360

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Monotone Convergence theorem Application

Published on 14 Apr 2026 - 4:09

195

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Continuity of the indicator of Cantor set.

Published on 13 Apr 2026 - 22:42

790

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Proof of Basis Representation Theorem

Published on 11 Apr 2026 - 6:07

426

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How do I show that $H$ is a normal subgroup of $G$.

Published on 10 Apr 2026 - 18:45

51

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Identify the following surface as a connected sum of either or projective planes with holes

Published on 16 Apr 2026 - 0:18

39

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Separable metric spaces have countable bases.

Published on 17 Apr 2026 - 12:04

136

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Proof Verification: Cartesian Product of Finitely Many Nonempty Sets is Nonempty (Without AoC)

Published on 13 Apr 2026 - 21:01

74

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Which graphs $G$ in which any circle is an edge separator maximize $||G||$ for fixed |G|?

Published on 25 Mar 2026 - 17:37

426

Views

Open and connected in normed space implies path-connected

Published on 27 Mar 2026 - 3:46

List Question

Proof verification: If $B_{n} = \bigcup^n_{i=1} A_{i}$, prove that $\bar{B}_{n} = \bigcup^n_{i=1} \bar{A_{i}}$

Why do we need prime ideals in the spectrum of a ring?

How do I show $[\mathbb{Q}(\alpha):\mathbb{Q}]=4$.

Implication of probabilistic ordering from convergence in probability

Shifting index while calculating expected value

[Proof Verification]: $\overline{A\times B}=\overline{A}\times\overline{B}$

Monotone Convergence theorem Application

Continuity of the indicator of Cantor set.

Proof of Basis Representation Theorem

How do I show that $H$ is a normal subgroup of $G$.

Identify the following surface as a connected sum of either or projective planes with holes

Separable metric spaces have countable bases.

Proof Verification: Cartesian Product of Finitely Many Nonempty Sets is Nonempty (Without AoC)

Which graphs $G$ in which any circle is an edge separator maximize $||G||$ for fixed |G|?

Open and connected in normed space implies path-connected

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