List questions from sumset

Published on 12 Mar 2017 - 3:13

1.8k

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The sum of a set $A$ with the empty set, $\varnothing$

Published on 18 Mar 2017 - 17:35

78

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Is the sum of a closed unit ball and a closed set itself closed?

Published on 30 May 2023 - 22:19

108

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Is this Minkowski Sum result correct?

Published on 24 Jul 2023 - 7:59

12

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Convexity of minkowski space when two triangles collide

Published on 09 Sep 2023 - 5:41

99

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How many subsets $S$ of integer interval $[0,n]$ such that $n, n-1 \not \in S+S$?

Published on 12 Oct 2023 - 1:02

55

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Whether $\sup(\sum\limits_{i=1}^{\infty}X_i)$ is equal to $\sum\limits_{i=1}^{\infty}(\sup X_i)$

Published on 16 Oct 2023 - 17:43

63

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What is the maximum range of a convex finite additive 2-basis of cardinality k?

Published on 27 Nov 2023 - 2:48

38

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Affine Combinations and Span

Published on 16 Feb 2024 - 12:14

32

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A Question on the Brunn-Minkowski inequality

Published on 23 Mar 2024 - 14:59

364

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To show sum of two sets is closed in R^2

Published on 29 Jan 2015 - 9:37

65

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Proving if $|A|\ge 4 \vee |A|\le 2$ then $|A+A|\neq 4$ with direct, contradiction and contraposition

Published on 29 Jan 2015 - 11:05

223

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If the sum of sets is open then one of them is open?

Published on 29 Mar 2015 - 11:49

833

Views

Two sets $X,Y \subset [0,1]$ such that $X+Y=[0,2]$

Published on 06 Jun 2015 - 16:11

303

Views

What are the bounds (upper and lower) for $|A+A|$?

Published on 16 Jun 2015 - 12:30

List Question

Limit measuring failure of sum-set cancellability

The sum of a set $A$ with the empty set, $\varnothing$

Is the sum of a closed unit ball and a closed set itself closed?

Is this Minkowski Sum result correct?

Convexity of minkowski space when two triangles collide

How many subsets $S$ of integer interval $[0,n]$ such that $n, n-1 \not \in S+S$?

Whether $\sup(\sum\limits_{i=1}^{\infty}X_i)$ is equal to $\sum\limits_{i=1}^{\infty}(\sup X_i)$

What is the maximum range of a convex finite additive 2-basis of cardinality k?

Affine Combinations and Span

A Question on the Brunn-Minkowski inequality

To show sum of two sets is closed in R^2

Proving if $|A|\ge 4 \vee |A|\le 2$ then $|A+A|\neq 4$ with direct, contradiction and contraposition

If the sum of sets is open then one of them is open?

Two sets $X,Y \subset [0,1]$ such that $X+Y=[0,2]$

What are the bounds (upper and lower) for $|A+A|$?

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