List questions from alternative-proof

Published on 14 Apr 2026 - 3:13

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A simpler (o rather direct) proof for $P(\{a\})=\big\{ \emptyset, \{a\}\big\}$.

Published on 13 Apr 2026 - 6:11

101

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Exercise 4, Section 16 of Munkres Topology

Published on 13 Apr 2026 - 20:56

68

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A "generalization" of Fermat's little theorem using group action?

Published on 10 Apr 2026 - 6:07

337

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Prove that $2V - 4 = F$ for maximal planar graphs.

Published on 17 Apr 2026 - 0:30

516

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Exercise 6, Section 17 of Munkres’ Topology

Published on 14 Apr 2026 - 11:53

151

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Exercise 9, Section 17 of Munkres’ Topology

Published on 13 Apr 2026 - 23:08

388

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Theorem 18.1 of Munkres’ Topology

Published on 13 Apr 2026 - 16:51

174

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If $a_n>0;\ a_n\to 0,$ is there an enumeration $\{ x_n \}_{n\in\mathbb{N}}$ of $\mathbb{Q}\cap (0,1]$ such that $a_1 x_1 > a_2 x_2 > a_3 x_3\ldots\ ?$

Published on 25 Apr 2026 - 23:42

179

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Theorem 18.4 of Munkres’ Topology

Published on 13 Apr 2026 - 8:05

358

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Theorem 18.2 of Munkres’ Topology

Published on 14 Apr 2026 - 6:30

234

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(Request for) simple constructive proof of existence of nonstandard model of PA

Published on 25 Mar 2026 - 17:20

58

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Another proof of the divergence of $\int_1^\infty\!\frac{\ln{f(x)}}{x^2}\mathrm{d}x$, and the asymptotic behaviour of its integrand?

Published on 15 Apr 2026 - 13:20

1.1k

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Prove $\int_0^1 \frac{\ln x\ +\ \ln(\sqrt x\ +\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$

Published on 17 Apr 2026 - 5:22

127

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Exercise 13, Section 17 of Munkres’ Topology And Using This Result to Prove $\{x|f(x)=g(x)\}$ is Closed in $X$

Published on 16 Apr 2026 - 2:21

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Hall's marriage theorem: sufficiency proof by contraposition

A simpler (o rather direct) proof for $P(\{a\})=\big\{ \emptyset, \{a\}\big\}$.

Exercise 4, Section 16 of Munkres Topology

A "generalization" of Fermat's little theorem using group action?

Prove that $2V - 4 = F$ for maximal planar graphs.

Exercise 6, Section 17 of Munkres’ Topology

Exercise 9, Section 17 of Munkres’ Topology

Theorem 18.1 of Munkres’ Topology

If $a_n>0;\ a_n\to 0,$ is there an enumeration $\{ x_n \}_{n\in\mathbb{N}}$ of $\mathbb{Q}\cap (0,1]$ such that $a_1 x_1 > a_2 x_2 > a_3 x_3\ldots\ ?$

Theorem 18.4 of Munkres’ Topology

Theorem 18.2 of Munkres’ Topology

(Request for) simple constructive proof of existence of nonstandard model of PA

Another proof of the divergence of $\int_1^\infty\!\frac{\ln{f(x)}}{x^2}\mathrm{d}x$, and the asymptotic behaviour of its integrand?

Prove $\int_0^1 \frac{\ln x\ +\ \ln(\sqrt x\ +\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$

Exercise 13, Section 17 of Munkres’ Topology And Using This Result to Prove $\{x|f(x)=g(x)\}$ is Closed in $X$

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