Question

Exercise 1.1.9 from West

score 128 · Answer 1 · 2024-02-22 01:48:48

128

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Exercise 1.1.9 from West

Published on 22 Feb 2024 - 1:48

score 87 · Answer 2 · 2026-03-25 20:57:58

87

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Necessity of Hausdorff-ness in "continuous function determined by its values on a dense subset"

Published on 25 Mar 2026 - 20:57

score 50 · Answer 3 · 2024-02-23 00:25:37

50

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Proof that $P(A \cap B \mid C) \neq P(A \mid C) \, P(A \cap C)$

Published on 23 Feb 2024 - 0:25

score 85 · Answer 4 · 2026-03-31 14:28:19

85

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If $f,g$ are uniformly continuous and $f$ is bounded and non-periodic, then $fg$ is not necessarily uniformly continuos

Published on 31 Mar 2026 - 14:28

score 62 · Answer 5 · 2024-02-26 15:04:46

62

Views

Finding a Lebesgue integrable function for every $1 \leqslant q < \infty$ that satisfies aditional requirement.

Published on 26 Feb 2024 - 15:04

score 67 · Answer 6 · 2026-03-29 05:44:12

67

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An ordinal $\nu$ is a natural iff there is no injection $f$ of $\nu$ into $X$ in $\mathscr P(\nu)\setminus\{\nu\}$.

Published on 29 Mar 2026 - 5:44

score 196 · Answer 7 · 2026-03-29 07:29:01

196

Views

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

Published on 29 Mar 2026 - 7:29

score 101 · Answer 8 · 2024-02-28 18:35:11

101

Views

There is a metric space on $\mathbb{Q}$ such that this space be compact.

Published on 28 Feb 2024 - 18:35

score 18 · Answer 9 · 2024-03-03 08:38:01

18

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Second Derivative Test: Can we relax hypothesis that $f$ is twice differentiable on neighborhood? (Counterexample)

Published on 03 Mar 2024 - 8:38

score 81 · Answer 10 · 2026-03-25 20:52:04

81

Views

Real Polynomials on Compact sets of Complex numbers

Published on 25 Mar 2026 - 20:52

score 15 · Answer 11 · 2024-03-03 16:29:23

15

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Analysis(convergence of series) If partial sum has a convergent subsequence with lim a_n=0, then series converges?

Published on 03 Mar 2024 - 16:29

score 36 · Answer 12 · 2026-03-27 20:21:02

36

Views

Given concave decreasing function, does $\exists c\in [0,1]$ s.t. $\frac{(f(c)-cf'(c))\left(c-\frac{f(c)}{f'(c)}\right)}{2}\leq2\int_{0}^{1}f(x)dx?$

Published on 27 Mar 2026 - 20:21

score 26 · Answer 13 · 2024-03-07 10:49:10

26

Views

Counter example for the continuity for decreasing intersections property of measures

Published on 07 Mar 2024 - 10:49

score 78 · Answer 14 · 2024-03-08 14:10:02

78

Views

Confused regarding CMI question

Published on 08 Mar 2024 - 14:10

score 56 · Answer 15 · 2024-03-09 15:38:07

56

Views

Must an infinite subset of a compact Hausdorff space contain a sequential accumulation point?

Published on 09 Mar 2024 - 15:38

List Question

Exercise 1.1.9 from West

Necessity of Hausdorff-ness in "continuous function determined by its values on a dense subset"

Proof that $P(A \cap B \mid C) \neq P(A \mid C) \, P(A \cap C)$

If $f,g$ are uniformly continuous and $f$ is bounded and non-periodic, then $fg$ is not necessarily uniformly continuos

Finding a Lebesgue integrable function for every $1 \leqslant q < \infty$ that satisfies aditional requirement.

An ordinal $\nu$ is a natural iff there is no injection $f$ of $\nu$ into $X$ in $\mathscr P(\nu)\setminus\{\nu\}$.

Let : $\frac{\Gamma(x+1)}{(x+x^2)}=f(x),x>0$ then the minimum over $(0,\infty)$ verify a particular power series

There is a metric space on $\mathbb{Q}$ such that this space be compact.

Second Derivative Test: Can we relax hypothesis that $f$ is twice differentiable on neighborhood? (Counterexample)

Real Polynomials on Compact sets of Complex numbers

Analysis(convergence of series) If partial sum has a convergent subsequence with lim a_n=0, then series converges?

Given concave decreasing function, does $\exists c\in [0,1]$ s.t. $\frac{(f(c)-cf'(c))\left(c-\frac{f(c)}{f'(c)}\right)}{2}\leq2\int_{0}^{1}f(x)dx?$

Counter example for the continuity for decreasing intersections property of measures

Confused regarding CMI question

Must an infinite subset of a compact Hausdorff space contain a sequential accumulation point?

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