List questions from supremum-and-infimum

160

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Show that; $S\cup A$ is sequentially compact if A is sequentially compact and $\lim\operatorname{dist}(x_n,A)=0$

Published on 19 Nov 2011 - 4:15

3.2k

Views

Rudin Theorem $1.11$

Published on 04 Apr 2026 - 0:12

6.6k

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Constant times Supremum

Published on 14 Mar 2012 - 5:07

748

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Rudin's Principles of Analysis Theorem 1.11

Published on 04 Apr 2026 - 0:15

869

Views

Infimum of two sets

Published on 14 Jul 2012 - 22:36

10.2k

Views

Supremum and infimum of $\{\frac{1}{n}-\frac{1}{m}:m, n \in \mathbb{N}\}$

Published on 14 Sep 2012 - 1:04

1.3k

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How to prove that the infimum of the sum of two sequences is at most the sum of their infima?

Published on 28 Sep 2012 - 11:09

101

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infimum - notational problem

Published on 06 Oct 2012 - 11:15

16.1k

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Prove that the sum of the infima is smaller than the infimum of the sum

Published on 08 Oct 2012 - 17:22

709

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Infimum of Distance in Compact Space

Published on 14 Oct 2012 - 22:21

1.2k

Views

Question about liminf for a pointwise convergent sequence of functions.

Published on 11 Nov 2012 - 6:11

1.6k

Views

very simple statement but how to find inf, sup

Published on 29 Nov 2012 - 7:04

8.6k

Views

Infimum and supremum of the set $ \{ (-1)^n + 1/m : n,m \in \mathbb N \} \cup \{-1\}$

Published on 29 Nov 2012 - 18:13

1.3k

Views

Proof of the Archimedean property

Published on 30 Nov 2012 - 22:34

227

Views

minimum of this simple set

Published on 01 Dec 2012 - 14:56

List Question

Show that; $S\cup A$ is sequentially compact if A is sequentially compact and $\lim\operatorname{dist}(x_n,A)=0$

Rudin Theorem $1.11$

Constant times Supremum

Rudin's Principles of Analysis Theorem 1.11

Infimum of two sets

Supremum and infimum of $\{\frac{1}{n}-\frac{1}{m}:m, n \in \mathbb{N}\}$

How to prove that the infimum of the sum of two sequences is at most the sum of their infima?

infimum - notational problem

Prove that the sum of the infima is smaller than the infimum of the sum

Infimum of Distance in Compact Space

Question about liminf for a pointwise convergent sequence of functions.

very simple statement but how to find inf, sup

Infimum and supremum of the set $ \{ (-1)^n + 1/m : n,m \in \mathbb N \} \cup \{-1\}$

Proof of the Archimedean property

minimum of this simple set

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