Question

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

score 152 · Answer 1 · 2018-04-20 16:39:38

152

Views

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

Published on 20 Apr 2018 - 16:39

score 225 · Answer 2 · 2026-03-26 11:00:16

225

Views

Compact topology between box and product topology

Published on 26 Mar 2026 - 11:00

score 73 · Answer 3 · 2018-04-21 02:17:24

73

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 21 Apr 2018 - 2:17

score 1k · Answer 4 · 2018-04-21 16:07:51

1k

Views

Prove that the function has a maximum and a minimum value

Published on 21 Apr 2018 - 16:07

score 1.1k · Answer 5 · 2018-04-21 19:15:57

1.1k

Views

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

Published on 21 Apr 2018 - 19:15

score 282 · Answer 6 · 2018-04-22 05:45:41

282

Views

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

Published on 22 Apr 2018 - 5:45

score 76 · Answer 7 · 2018-04-22 08:16:28

76

Views

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

Published on 22 Apr 2018 - 8:16

score 360 · Answer 8 · 2018-04-22 10:56:24

360

Views

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

Published on 22 Apr 2018 - 10:56

score 165 · Answer 9 · 2026-03-26 23:19:59

165

Views

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

Published on 26 Mar 2026 - 23:19

score 132 · Answer 10 · 2018-04-22 22:15:50

132

Views

characterizing compactness in function space.

Published on 22 Apr 2018 - 22:15

score 334 · Answer 11 · 2018-04-23 15:04:10

334

Views

Compact in space of bounded function with limit at infinity

Published on 23 Apr 2018 - 15:04

score 116 · Answer 12 · 2018-04-24 04:40:23

116

Views

Compute all homology groups of all compact surfaces

Published on 24 Apr 2018 - 4:40

score 76 · Answer 13 · 2026-03-26 08:00:49

76

Views

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

Published on 26 Mar 2026 - 8:00

score 668 · Answer 14 · 2018-04-24 23:20:44

668

Views

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

Published on 24 Apr 2018 - 23:20

score 51 · Answer 15 · 2018-04-25 03:15:56

51

Views

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

Published on 25 Apr 2018 - 3:15

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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