Question

Compactness in $\ell ^1$. Is $K := \{ (z_n)_n \in \ell^1 : |z_n| \leq |x_n| \}$ compact?

score 155 · Answer 1 · 2026-04-16 05:48:39

155

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Compactness in $\ell ^1$. Is $K := \{ (z_n)_n \in \ell^1 : |z_n| \leq |x_n| \}$ compact?

Published on 16 Apr 2026 - 5:48

score 228 · Answer 2 · 2026-05-10 16:57:05

228

Views

Compact topology between box and product topology

Published on 10 May 2026 - 16:57

score 76 · Answer 3 · 2026-04-11 21:22:47

76

Views

$(0,2)$ is a locally compact Hausdorff space. Then what will be that one point which will make $(0,2)$ a compact Hausdorff space?

Published on 11 Apr 2026 - 21:22

score 1k · Answer 4 · 2026-04-10 09:35:07

1k

Views

Prove that the function has a maximum and a minimum value

Published on 10 Apr 2026 - 9:35

score 1.1k · Answer 5 · 2026-04-12 00:20:07

1.1k

Views

How is this an application of the Bolzano-Weierstrass theorem?

Published on 12 Apr 2026 - 0:20

score 285 · Answer 6 · 2026-04-10 23:53:41

285

Views

Proof of coercivity and compactness of a continuous function using contradiction?

Published on 10 Apr 2026 - 23:53

score 81 · Answer 7 · 2026-04-17 01:13:26

81

Views

Compactness of closed unit ball $\bar B(0,1)$ in normed space

Published on 17 Apr 2026 - 1:13

score 362 · Answer 8 · 2026-04-15 06:47:51

362

Views

Proving that $\mathbb{T}^n$ is compact Hausdorff

Published on 15 Apr 2026 - 6:47

score 168 · Answer 9 · 2026-05-10 16:53:23

168

Views

$(C (X,Y),d)$ is complete

Published on 10 May 2026 - 16:53

score 135 · Answer 10 · 2026-04-10 18:37:35

135

Views

characterizing compactness in function space.

Published on 10 Apr 2026 - 18:37

score 337 · Answer 11 · 2026-04-11 04:48:23

337

Views

Compact in space of bounded function with limit at infinity

Published on 11 Apr 2026 - 4:48

score 121 · Answer 12 · 2026-05-14 09:40:35

121

Views

Compute all homology groups of all compact surfaces

Published on 14 May 2026 - 9:40

score 78 · Answer 13 · 2026-04-16 15:11:05

78

Views

Close $M=\{\:x(t)\in{L_2}_{[1,\infty)}:\int_{1}^{\infty}\frac{x(t)}{t}dt=0\:\}$?

Published on 16 Apr 2026 - 15:11

score 671 · Answer 14 · 2026-04-11 13:21:37

671

Views

Is $[0, 1]$, with the discrete topology, compact?

Published on 11 Apr 2026 - 13:21

score 54 · Answer 15 · 2026-04-10 11:29:01

54

Views

Definition of Compact : Is "Sub"-cover Must be Proper?

Published on 10 Apr 2026 - 11:29

List Question

Compactness in $\ell ^1$. Is $K := \{ (z_n)_n \in \ell^1 : |z_n| \leq |x_n| \}$ compact?

Compact topology between box and product topology

$(0,2)$ is a locally compact Hausdorff space. Then what will be that one point which will make $(0,2)$ a compact Hausdorff space?

Prove that the function has a maximum and a minimum value

How is this an application of the Bolzano-Weierstrass theorem?

Proof of coercivity and compactness of a continuous function using contradiction?

Compactness of closed unit ball $\bar B(0,1)$ in normed space

Proving that $\mathbb{T}^n$ is compact Hausdorff

$(C (X,Y),d)$ is complete

characterizing compactness in function space.

Compact in space of bounded function with limit at infinity

Compute all homology groups of all compact surfaces

Close $M=\{\:x(t)\in{L_2}_{[1,\infty)}:\int_{1}^{\infty}\frac{x(t)}{t}dt=0\:\}$?

Is $[0, 1]$, with the discrete topology, compact?

Definition of Compact : Is "Sub"-cover Must be Proper?

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