Question

Is a space of polynomials over Real numbers complete?

score 73 · Answer 1 · 2026-04-14 09:19:54

73

Views

Is a space of polynomials over Real numbers complete?

Published on 14 Apr 2026 - 9:19

score 998 · Answer 2 · 2026-04-16 11:22:30

998

Views

Let $Y$ be a complete metric space. Then $C^0 (X,Y)$ is complete under the uniform convergence metric.

Published on 16 Apr 2026 - 11:22

score 310 · Answer 3 · 2026-04-14 13:48:03

310

Views

Proving that the non-negative real line is complete

Published on 14 Apr 2026 - 13:48

score 440 · Answer 4 · 2026-04-08 20:25:09

440

Views

How to find a completion for a metric space (For instance, support compact continuous real functions)

Published on 08 Apr 2026 - 20:25

score 59 · Answer 5 · 2026-04-17 08:50:07

59

Views

Are there any sets that are not complete metric spaces under all possible metrics?

Published on 17 Apr 2026 - 8:50

score 25 · Answer 6 · 2026-04-13 01:21:43

25

Views

Choosing a correct option related to compactness and completeness about image of map.

Published on 13 Apr 2026 - 1:21

score 243 · Answer 7 · 2026-04-14 23:06:14

243

Views

On a version of Urysohn lemma for complete metric spaces, involving uniform continuous functions

Published on 14 Apr 2026 - 23:06

score 53 · Answer 8 · 2026-04-14 06:26:07

53

Views

If $(X,\|.\|_)$ is complete and $\|.\|_{} \leq \|.\|_{}$, then is $(X,\|.\|_{})$ complete?

Published on 14 Apr 2026 - 6:26

score 874 · Answer 9 · 2026-04-16 07:02:12

874

Views

Any finite dimensional normed linear space over a complete field is complete.

Published on 16 Apr 2026 - 7:02

score 864 · Answer 10 · 2026-04-14 12:25:16

864

Views

Complete metric space in which the large balls are not compact.

Published on 14 Apr 2026 - 12:25

score 84 · Answer 11 · 2026-04-17 09:40:11

84

Views

On a special type of sequence in complete metric space

Published on 17 Apr 2026 - 9:40

score 93 · Answer 12 · 2026-04-11 12:27:10

93

Views

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

Published on 11 Apr 2026 - 12:27

score 144 · Answer 13 · 2026-04-14 05:05:45

144

Views

A complete orthonormal system $\{e_i\}^\infty_{i=1}$ in $H$ is a basis in $H$

Published on 14 Apr 2026 - 5:05

score 463 · Answer 14 · 2026-04-14 12:19:36

463

Views

Proving the statement "$l^1$ is complete." differently.

Published on 14 Apr 2026 - 12:19

score 760 · Answer 15 · 2026-05-10 15:41:51

760

Views

completeness and the open mapping theorem

Published on 10 May 2026 - 15:41

List Question

Is a space of polynomials over Real numbers complete?

Let $Y$ be a complete metric space. Then $C^0 (X,Y)$ is complete under the uniform convergence metric.

Proving that the non-negative real line is complete

How to find a completion for a metric space (For instance, support compact continuous real functions)

Are there any sets that are not complete metric spaces under all possible metrics?

Choosing a correct option related to compactness and completeness about image of map.

On a version of Urysohn lemma for complete metric spaces, involving uniform continuous functions

If $(X,\|.\|_)$ is complete and $\|.\|_{} \leq \|.\|_{}$, then is $(X,\|.\|_{})$ complete?

Any finite dimensional normed linear space over a complete field is complete.

Complete metric space in which the large balls are not compact.

On a special type of sequence in complete metric space

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

A complete orthonormal system $\{e_i\}^\infty_{i=1}$ in $H$ is a basis in $H$

Proving the statement "$l^1$ is complete." differently.

completeness and the open mapping theorem

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