List questions from sumset

Published on 08 Aug 2017 - 18:39

192

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An inequality on sumsets.

Published on 12 Aug 2017 - 3:43

1k

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In how many different from a set of numbers can a fixed sum be achieved?

Published on 15 Aug 2017 - 16:28

239

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Is the Minkowski sum of two connected sets also connected?

Published on 26 Aug 2017 - 10:43

13.1k

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The Minkowski sum of two convex sets is convex

Published on 30 Aug 2017 - 9:20

7.8k

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Prove that the sum of two compact sets in $\mathbb R^n$ is compact.

Published on 17 Sep 2017 - 10:11

410

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On the definition of the Minkowski sum

Published on 26 Oct 2017 - 17:02

640

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Does $\overline{A+B}=\overline A+\overline B$ hold if $\overline A$ and $\overline B$ are compact?

Published on 31 Oct 2017 - 15:22

42

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Applications for Sumsets?

Published on 07 Nov 2017 - 21:27

278

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$\lim_{n\to\infty} \sum_{k=1}^n \frac{k!}{n!}$

Published on 30 Nov 2017 - 15:41

63

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How many consecutive numbers in a sumset?

Published on 06 Jan 2018 - 21:37

6.7k

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Measure of the Cantor set plus the Cantor set

Published on 14 Aug 2010 - 8:45

88.3k

Views

How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$

Published on 13 Sep 2010 - 17:21

5k

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Example where closure of $A+B$ is different from sum of closures of $A$ and $B$

Published on 29 Aug 2011 - 4:01

1.3k

Views

Show by example that the Minkowski sum of two sets $X+Y$ may be convex even if neither $X$ nor $Y$ are convex

Published on 08 Oct 2011 - 22:22

List Question

sigma notation for sumsets $\Sigma B$

An inequality on sumsets.

In how many different from a set of numbers can a fixed sum be achieved?

Is the Minkowski sum of two connected sets also connected?

The Minkowski sum of two convex sets is convex

Prove that the sum of two compact sets in $\mathbb R^n$ is compact.

On the definition of the Minkowski sum

Does $\overline{A+B}=\overline A+\overline B$ hold if $\overline A$ and $\overline B$ are compact?

Applications for Sumsets?

$\lim_{n\to\infty} \sum_{k=1}^n \frac{k!}{n!}$

How many consecutive numbers in a sumset?

Measure of the Cantor set plus the Cantor set

How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$

Example where closure of $A+B$ is different from sum of closures of $A$ and $B$

Show by example that the Minkowski sum of two sets $X+Y$ may be convex even if neither $X$ nor $Y$ are convex

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