Question

Cotangent bundle of $SO(3)$

score 141 · Answer 1 · 2026-04-15 17:28:59

141

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Cotangent bundle of $SO(3)$

Published on 15 Apr 2026 - 17:28

score 96 · Answer 2 · 2026-04-14 07:52:00

96

Views

Prove that $\bigcup\mathcal F$ and $\bigcup\mathcal G$ are disjoint iff for all $A\in\mathcal F$ and $B\in\mathcal G$, $A$ and $B$ are disjoint.

Published on 14 Apr 2026 - 7:52

score 87 · Answer 3 · 2026-04-11 17:30:15

87

Views

Valid construction to build torus?

Published on 11 Apr 2026 - 17:30

score 41 · Answer 4 · 2026-04-15 13:20:53

41

Views

Show that $\mathcal{G} := \bigcap_{\theta\in\Theta}\mathcal{F}_{\theta}$ is also a $\sigma$-algebra.

Published on 15 Apr 2026 - 13:20

score 1.7k · Answer 5 · 2026-04-14 22:14:47

1.7k

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A finite abelian group is isomorphic to the direct product of its Sylow subgroups

Published on 14 Apr 2026 - 22:14

score 212 · Answer 6 · 2026-04-14 09:57:45

212

Views

Munkres Topology Section 24 problem 7.

Published on 14 Apr 2026 - 9:57

score 280 · Answer 7 · 2026-03-25 09:17:57

280

Views

Find the remainder $1690^{2608} + 2608^{1690}$ when divided by 7?

Published on 25 Mar 2026 - 9:17

score 955 · Answer 8 · 2026-04-15 14:45:42

955

Views

Why don't we need to count the two pre-assigned people in this committee forming probability question?

Published on 15 Apr 2026 - 14:45

score 899 · Answer 9 · 2026-03-25 14:20:05

899

Views

Solution verification: chess board all squares white except one

Published on 25 Mar 2026 - 14:20

score 115 · Answer 10 · 2026-04-14 08:58:39

115

Views

Prove that $(\bigcup\mathcal F)\setminus(\bigcup\mathcal G)\subseteq\bigcup(\mathcal F\setminus\mathcal G).$

Published on 14 Apr 2026 - 8:58

score 104 · Answer 11 · 2026-04-16 11:10:45

104

Views

Proving $f(x) = x + \frac{x^2}{2} + \frac{x^3}{3} + \frac{x^4}{4} + ... $ is continuous for a fixed $x_0 \in (-1,1)$ by using the Weierstrass M-test

Published on 16 Apr 2026 - 11:10

score 451 · Answer 12 · 2026-04-11 03:11:50

451

Views

Baby Rudin Ch. 5 Exercise 2: How does differentiability imply continuity at endpoints?

Published on 11 Apr 2026 - 3:11

score 54 · Answer 13 · 2026-04-14 22:26:06

54

Views

Show that for the metric $\delta(x,y):=\arctan(|x-y|)$ on $\mathbb{R}$ the open sets are the same as on the usual metric

Published on 14 Apr 2026 - 22:26

score 235 · Answer 14 · 2026-04-14 18:16:49

235

Views

Prove that the union of a family of functions with disjoint domains is a function.

Published on 14 Apr 2026 - 18:16

score 240 · Answer 15 · 2026-04-11 17:50:52

240

Views

Finding limit points of sets in $(\mathbb Z , \tau)$

Published on 11 Apr 2026 - 17:50

List Question

Cotangent bundle of $SO(3)$

Prove that $\bigcup\mathcal F$ and $\bigcup\mathcal G$ are disjoint iff for all $A\in\mathcal F$ and $B\in\mathcal G$, $A$ and $B$ are disjoint.

Valid construction to build torus?

Show that $\mathcal{G} := \bigcap_{\theta\in\Theta}\mathcal{F}_{\theta}$ is also a $\sigma$-algebra.

A finite abelian group is isomorphic to the direct product of its Sylow subgroups

Munkres Topology Section 24 problem 7.

Find the remainder $1690^{2608} + 2608^{1690}$ when divided by 7?

Why don't we need to count the two pre-assigned people in this committee forming probability question?

Solution verification: chess board all squares white except one

Prove that $(\bigcup\mathcal F)\setminus(\bigcup\mathcal G)\subseteq\bigcup(\mathcal F\setminus\mathcal G).$

Proving $f(x) = x + \frac{x^2}{2} + \frac{x^3}{3} + \frac{x^4}{4} + ... $ is continuous for a fixed $x_0 \in (-1,1)$ by using the Weierstrass M-test

Baby Rudin Ch. 5 Exercise 2: How does differentiability imply continuity at endpoints?

Show that for the metric $\delta(x,y):=\arctan(|x-y|)$ on $\mathbb{R}$ the open sets are the same as on the usual metric

Prove that the union of a family of functions with disjoint domains is a function.

Finding limit points of sets in $(\mathbb Z , \tau)$

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