Question

An upper bound $u$ is the supremum of $A$ if and only if for all $\epsilon > 0$ there is an $a \in A$ such that $u-\epsilon < a$

score 4.1k · Answer 1 · 2014-11-03 00:14:57

4.1k

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An upper bound $u$ is the supremum of $A$ if and only if for all $\epsilon > 0$ there is an $a \in A$ such that $u-\epsilon < a$

Published on 03 Nov 2014 - 0:14

score 3.4k · Answer 2 · 2014-11-03 04:27:24

3.4k

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Supremum of the product of sets

Published on 03 Nov 2014 - 4:27

score 13.4k · Answer 3 · 2014-11-03 13:40:47

13.4k

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How can I show a supremum of a set is also its limit point?

Published on 03 Nov 2014 - 13:40

score 230 · Answer 4 · 2014-11-03 16:41:28

230

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checking the answer for infimum and supremum of a set

Published on 03 Nov 2014 - 16:41

score 654 · Answer 5 · 2014-11-03 17:01:54

654

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Supremum and infimum of an inequality

Published on 03 Nov 2014 - 17:01

score 218 · Answer 6 · 2014-11-03 18:07:36

218

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Supremum and Infimum of sequences

Published on 03 Nov 2014 - 18:07

score 65 · Answer 7 · 2014-11-03 22:35:36

65

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Proving a complicated statement about supremum of a bounded set - how to proceed?

Published on 03 Nov 2014 - 22:35

score 291 · Answer 8 · 2014-11-04 14:31:50

291

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The supremum and infimum of the set $S_a = \{a/(a−x) \mid x \in (0, a)\}$

Published on 04 Nov 2014 - 14:31

score 65 · Answer 9 · 2014-11-04 20:47:39

65

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Prove that $\frac{301}{900} $ number is $\sup$ of this set

Published on 04 Nov 2014 - 20:47

score 67 · Answer 10 · 2014-11-05 18:24:43

67

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A question about Infimum.

Published on 05 Nov 2014 - 18:24

score 41 · Answer 11 · 2026-03-26 06:05:33

41

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Find $K$ such that $|(x, y)| > K$ implies $(x - 1)^2 + (y + 2)^2 > C+ 4$.

Published on 26 Mar 2026 - 6:05

score 248 · Answer 12 · 2014-11-06 16:04:02

248

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Find supremum and infimum of $A=\left\lbrace\frac{2013}{1+\epsilon+\epsilon^{-1}}:\epsilon\in(0,1)\right\rbrace$

Published on 06 Nov 2014 - 16:04

score 59 · Answer 13 · 2014-11-06 16:32:33

59

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Am I right that this statement is false?

Published on 06 Nov 2014 - 16:32

score 91 · Answer 14 · 2014-11-07 18:16:28

91

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Subset of a set problem with least upper bound

Published on 07 Nov 2014 - 18:16

score 122 · Answer 15 · 2014-11-07 21:37:24

122

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A question related to Integral and supremum

Published on 07 Nov 2014 - 21:37

List Question

An upper bound $u$ is the supremum of $A$ if and only if for all $\epsilon > 0$ there is an $a \in A$ such that $u-\epsilon < a$

Supremum of the product of sets

How can I show a supremum of a set is also its limit point?

checking the answer for infimum and supremum of a set

Supremum and infimum of an inequality

Supremum and Infimum of sequences

Proving a complicated statement about supremum of a bounded set - how to proceed?

The supremum and infimum of the set $S_a = \{a/(a−x) \mid x \in (0, a)\}$

Prove that $\frac{301}{900} $ number is $\sup$ of this set

A question about Infimum.

Find $K$ such that $|(x, y)| > K$ implies $(x - 1)^2 + (y + 2)^2 > C+ 4$.

Find supremum and infimum of $A=\left\lbrace\frac{2013}{1+\epsilon+\epsilon^{-1}}:\epsilon\in(0,1)\right\rbrace$

Am I right that this statement is false?

Subset of a set problem with least upper bound

A question related to Integral and supremum

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