Question

Prove that if a sequence $(x_i)$ does not converge to $a$ in a metric space, there exists neighborhood of $a$

score 206 · Answer 1 · 2026-04-13 05:11:33

206

Views

Prove that if a sequence $(x_i)$ does not converge to $a$ in a metric space, there exists neighborhood of $a$

Published on 13 Apr 2026 - 5:11

score 251 · Answer 2 · 2026-04-15 02:39:12

251

Views

First and third homology of $S^5/Z_q$ and Leray spectral sequence

Published on 15 Apr 2026 - 2:39

score 693 · Answer 3 · 2026-04-17 00:23:10

693

Views

Number of homomorphisms between $S_3$ and $Z_4=C_4$

Published on 17 Apr 2026 - 0:23

score 117 · Answer 4 · 2026-04-14 18:23:54

117

Views

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

Published on 14 Apr 2026 - 18:23

score 36 · Answer 5 · 2026-04-13 12:37:50

36

Views

How is $\tilde H_i(S^n) =0$ for $i \ne n$?

Published on 13 Apr 2026 - 12:37

score 182 · Answer 6 · 2026-04-14 16:23:24

182

Views

Prove that $\inf \left\{ \int_E f d\mu : \mu (E) \geq \alpha\right\} > 0$

Published on 14 Apr 2026 - 16:23

score 229 · Answer 7 · 2026-03-25 07:41:48

229

Views

Consequence of epimorphism from Noetherian $R$-module

Published on 25 Mar 2026 - 7:41

score 44 · Answer 8 · 2026-04-10 01:59:42

44

Views

Attempted proof of primality (basic)

Published on 10 Apr 2026 - 1:59

score 86 · Answer 9 · 2026-04-12 09:25:25

86

Views

Making proof rigorous that isometries of $\mathbb{R}^n$ are bijective using balls

Published on 12 Apr 2026 - 9:25

score 562 · Answer 10 · 2026-04-15 21:13:27

562

Views

Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT

Published on 15 Apr 2026 - 21:13

score 197 · Answer 11 · 2026-04-16 02:47:42

197

Views

Prove that there exists $b \in B$ that is an upper bound for $A$

Published on 16 Apr 2026 - 2:47

score 50 · Answer 12 · 2026-04-29 18:20:59

50

Views

Proving existence and computation of a function's limit

Published on 29 Apr 2026 - 18:20

score 236 · Answer 13 · 2026-04-24 14:37:32

236

Views

Showing a Solution to a PDE Satisfies Boundary Conditions

Published on 24 Apr 2026 - 14:37

score 303 · Answer 14 · 2026-04-12 09:57:45

303

Views

Error check in book - Jensen inequality and binomial coefficient

Published on 12 Apr 2026 - 9:57

score 148 · Answer 15 · 2026-04-14 16:39:18

148

Views

Vakil 13.7.A(b): Proof verification

Published on 14 Apr 2026 - 16:39

List Question

Prove that if a sequence $(x_i)$ does not converge to $a$ in a metric space, there exists neighborhood of $a$

First and third homology of $S^5/Z_q$ and Leray spectral sequence

Number of homomorphisms between $S_3$ and $Z_4=C_4$

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

How is $\tilde H_i(S^n) =0$ for $i \ne n$?

Prove that $\inf \left\{ \int_E f d\mu : \mu (E) \geq \alpha\right\} > 0$

Consequence of epimorphism from Noetherian $R$-module

Attempted proof of primality (basic)

Making proof rigorous that isometries of $\mathbb{R}^n$ are bijective using balls

Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT

Prove that there exists $b \in B$ that is an upper bound for $A$

Proving existence and computation of a function's limit

Showing a Solution to a PDE Satisfies Boundary Conditions

Error check in book - Jensen inequality and binomial coefficient

Vakil 13.7.A(b): Proof verification

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