List questions from complete-spaces

Published on 08 Jun 2019 - 6:19

63

Views

Complete space of functions with $f(a)=f(b)$?

Published on 12 Jun 2019 - 9:58

68

Views

Questioning dense subset completeness (counterexample)

Published on 13 Jun 2019 - 11:26

208

Views

Cauchy Sequence in $C[0,1]$ endowed with $L^2$ norm and $L^\infty$ norm

Published on 13 Jun 2019 - 12:01

189

Views

Show that $\mathscr{E}(\Omega)$ is a complete metric space, i.e. the Frechet Space is complete.

Published on 16 Jun 2019 - 10:46

982

Views

Existence of compact/complete metric on countable set

Published on 19 Jun 2019 - 2:01

2.1k

Views

C[a,b] with Sup-Norm is complete

Published on 21 Jun 2019 - 13:31

397

Views

Given a sequence of spaces $X \subset Y \subset Z$ with $X$ dense in $Z$, is $X$ dense in $Y$?

Published on 27 Jun 2019 - 12:25

53

Views

Isomorph vector space such that X complete and Y not

Published on 25 Mar 2026 - 8:08

574

Views

Show that $\ell^1$ is non complete under $\ell^2$ norm

Published on 29 Jun 2019 - 7:10

42

Views

Completion of Metric Spaces

Published on 03 Jul 2019 - 17:00

176

Views

Is completeness of a metric space is a homeomorphic property?

Published on 05 Jul 2019 - 8:42

367

Views

A "complete" ordered field of ordinals

Published on 25 Mar 2026 - 6:11

40

Views

Let $ X'$ be a completion of $X$. Is $X'=\bar X$?

Published on 08 Jul 2019 - 18:09

40

Views

The assumption of a Cauchy sequence in proving completeness of a set.

Published on 14 Jul 2019 - 16:57

List Question

Uniqueness of completion of a metric space

Complete space of functions with $f(a)=f(b)$?

Questioning dense subset completeness (counterexample)

Cauchy Sequence in $C[0,1]$ endowed with $L^2$ norm and $L^\infty$ norm

Show that $\mathscr{E}(\Omega)$ is a complete metric space, i.e. the Frechet Space is complete.

Existence of compact/complete metric on countable set

C[a,b] with Sup-Norm is complete

Given a sequence of spaces $X \subset Y \subset Z$ with $X$ dense in $Z$, is $X$ dense in $Y$?

Isomorph vector space such that X complete and Y not

Show that $\ell^1$ is non complete under $\ell^2$ norm

Completion of Metric Spaces

Is completeness of a metric space is a homeomorphic property?

A "complete" ordered field of ordinals

Let $ X'$ be a completion of $X$. Is $X'=\bar X$?

The assumption of a Cauchy sequence in proving completeness of a set.

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