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Proof verification: Baby Rudin Chapter 4 Exercise 8

score 332 · Answer 1 · 2026-03-29 22:27:05

332

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Proof verification: Baby Rudin Chapter 4 Exercise 8

Published on 29 Mar 2026 - 22:27

score 37 · Answer 2 · 2020-07-30 19:13:56

37

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H-Closed Space has a unique weaker topology which is Minimal Hausdorff

Published on 30 Jul 2020 - 19:13

score 347 · Answer 3 · 2026-04-01 06:08:12

347

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How to prove equivalence of different definitions for compactness?

Published on 01 Apr 2026 - 6:08

score 125 · Answer 4 · 2026-03-25 09:28:59

125

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Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

Published on 25 Mar 2026 - 9:28

score 7.9k · Answer 5 · 2016-07-08 11:42:46

7.9k

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Limit point - contains one, or infinitely many points of set?

Published on 08 Jul 2016 - 11:42

score 741 · Answer 6 · 2026-04-02 02:50:38

741

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Prove f(M) is a closed interval given f continuous on M into R, M compact and connected.

Published on 02 Apr 2026 - 2:50

score 960 · Answer 7 · 2016-07-12 18:53:19

960

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Slick proof that continuous image of precompact space is precompact

Published on 12 Jul 2016 - 18:53

score 94 · Answer 8 · 2016-07-13 05:43:06

94

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$A \subseteq \mathbb R^n $ s.t. for every continuous function $f : A \to \mathbb R$ , $f(A)$ is closed in $\mathbb R$ , is $A$ closed $\mathbb R^n$?

Published on 13 Jul 2016 - 5:43

score 197 · Answer 9 · 2016-07-13 08:53:01

197

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$X$ is metric space s.t. for every metric space $Y$ and any continuous function $f : X \to Y$ , $f(X)$ is closed in $Y$ ; is $X$ compact?

Published on 13 Jul 2016 - 8:53

score 303 · Answer 10 · 2016-07-14 18:51:19

303

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Is the support of a compactly supported function on $\Omega$ a proper subset of $\Omega$?

Published on 14 Jul 2016 - 18:51

score 48 · Answer 11 · 2016-07-14 19:16:30

If $K'$ is the compact support of a $ℝ$-valued function on an open set $Ω⊆ℝ^d$, can we find a closed ball $K$ with $K⊆Ω$ and $K'⊆K$?

score 1.8k · Answer 12 · 2026-04-02 11:24:23

1.8k

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Partial integration for smooth functions with compact support

Published on 02 Apr 2026 - 11:24

score 487 · Answer 13 · 2016-07-15 14:57:20

487

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Let $X$ be a non-empty compact Hausdorff space. Which of the following statements are true?

Published on 15 Jul 2016 - 14:57

score 316 · Answer 14 · 2026-04-02 02:54:58

316

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Is $X\simeq [0,1]$?

Published on 02 Apr 2026 - 2:54

score 180 · Answer 15 · 2026-04-03 16:16:55

180

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Why if $u_h \rightharpoonup u$ in $*w-W^{1,\infty}$ then exists a subsequence s.t. $u_{h_k}\rightarrow u$ in $L^{\infty}$?

Published on 03 Apr 2026 - 16:16

List Question

Proof verification: Baby Rudin Chapter 4 Exercise 8

H-Closed Space has a unique weaker topology which is Minimal Hausdorff

How to prove equivalence of different definitions for compactness?

Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

Limit point - contains one, or infinitely many points of set?

Prove f(M) is a closed interval given f continuous on M into R, M compact and connected.

Slick proof that continuous image of precompact space is precompact

$A \subseteq \mathbb R^n $ s.t. for every continuous function $f : A \to \mathbb R$ , $f(A)$ is closed in $\mathbb R$ , is $A$ closed $\mathbb R^n$?

$X$ is metric space s.t. for every metric space $Y$ and any continuous function $f : X \to Y$ , $f(X)$ is closed in $Y$ ; is $X$ compact?

Is the support of a compactly supported function on $\Omega$ a proper subset of $\Omega$?

If $K'$ is the compact support of a $ℝ$-valued function on an open set $Ω⊆ℝ^d$, can we find a closed ball $K$ with $K⊆Ω$ and $K'⊆K$?

Partial integration for smooth functions with compact support

Let $X$ be a non-empty compact Hausdorff space. Which of the following statements are true?

Is $X\simeq [0,1]$?

Why if $u_h \rightharpoonup u$ in $*w-W^{1,\infty}$ then exists a subsequence s.t. $u_{h_k}\rightarrow u$ in $L^{\infty}$?

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