Question

Subbasis for a topology two problems

score 59 · Answer 1 · 2020-04-06 12:15:54

59

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Subbasis for a topology two problems

Published on 06 Apr 2020 - 12:15

score 448 · Answer 2 · 2026-04-04 19:16:20

448

Views

Prob. 4, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: $[0, 1]^\omega$ with uniform topology is not locally compact

Published on 04 Apr 2026 - 19:16

score 73 · Answer 3 · 2020-04-06 15:47:25

73

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Show $f \cup g$ is a function $\iff f|C = g|C$ where $\text{dom}(f) = A, \text{dom}(g) = B \text{ and } \emptyset \ne C = A \cap B$

Published on 06 Apr 2020 - 15:47

score 415 · Answer 4 · 2020-04-06 15:47:27

415

Views

Any matrix has a unique decomposition of a sum of a symmetric and anti symmetric matrix proof

Published on 06 Apr 2020 - 15:47

score 67 · Answer 5 · 2020-04-06 16:02:51

67

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Fermat' Last Theorem

Published on 06 Apr 2020 - 16:02

score 116 · Answer 6 · 2026-03-29 20:56:05

116

Views

Proof Check: General solution Euler-lagrange Equation $\int_{a}^{b} \sqrt{x}\sqrt{1+|y'|^2}dx$

Published on 29 Mar 2026 - 20:56

score 51 · Answer 7 · 2020-04-06 17:48:58

51

Views

Definition check product topology

Published on 06 Apr 2020 - 17:48

score 244 · Answer 8 · 2026-03-26 23:00:21

244

Views

Forward difference operator eigenvalues and eigenfunction in $\mathbb{Z}_+$

Published on 26 Mar 2026 - 23:00

score 616 · Answer 9 · 2026-04-04 19:16:50

616

Views

Prob. 5, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: Extension of a homeomorphism of locally compact Hausdorff spaces to their one-point compactifications

Published on 04 Apr 2026 - 19:16

score 65 · Answer 10 · 2020-04-06 19:10:06

65

Views

Finding number of distinct primes: a paradoxical solution

Published on 06 Apr 2020 - 19:10

score 1.6k · Answer 11 · 2026-03-30 05:16:21

1.6k

Views

A possible solution to $\sqrt {5-x}=5-x^2$ (without taking square from both sides)

Published on 30 Mar 2026 - 5:16

score 35 · Answer 12 · 2020-04-06 19:41:36

35

Views

How do I prove that a function is not differentiable at 1

Published on 06 Apr 2020 - 19:41

score 52 · Answer 13 · 2020-04-06 20:21:53

52

Views

Consider the polynomials $2x+3$ and $3x^2+5 \in \mathbb{Z}[x]$. Does there exist $q(x)$ and $r(x)$ such that $3x^2+5 = (2x+3)q(x)+r(x)$?

Published on 06 Apr 2020 - 20:21

score 166 · Answer 14 · 2026-03-26 07:39:11

166

Views

Showing $\tilde\chi: G/N \rightarrow \mathbb{C} $ is a character of group $G/N$.

Published on 26 Mar 2026 - 7:39

score 59 · Answer 15 · 2020-04-06 21:12:54

59

Views

Proving that $(\|T_{N}x\|)_{N \in \mathbb{N}}$ is a bounded sequence for each fixed $x.$

Published on 06 Apr 2020 - 21:12

List Question

Subbasis for a topology two problems

Prob. 4, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: $[0, 1]^\omega$ with uniform topology is not locally compact

Show $f \cup g$ is a function $\iff f|C = g|C$ where $\text{dom}(f) = A, \text{dom}(g) = B \text{ and } \emptyset \ne C = A \cap B$

Any matrix has a unique decomposition of a sum of a symmetric and anti symmetric matrix proof

Fermat' Last Theorem

Proof Check: General solution Euler-lagrange Equation $\int_{a}^{b} \sqrt{x}\sqrt{1+|y'|^2}dx$

Definition check product topology

Forward difference operator eigenvalues and eigenfunction in $\mathbb{Z}_+$

Prob. 5, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: Extension of a homeomorphism of locally compact Hausdorff spaces to their one-point compactifications

Finding number of distinct primes: a paradoxical solution

A possible solution to $\sqrt {5-x}=5-x^2$ (without taking square from both sides)

How do I prove that a function is not differentiable at 1

Consider the polynomials $2x+3$ and $3x^2+5 \in \mathbb{Z}[x]$. Does there exist $q(x)$ and $r(x)$ such that $3x^2+5 = (2x+3)q(x)+r(x)$?

Showing $\tilde\chi: G/N \rightarrow \mathbb{C} $ is a character of group $G/N$.

Proving that $(\|T_{N}x\|)_{N \in \mathbb{N}}$ is a bounded sequence for each fixed $x.$

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