Question

Is the Minkowski sum of a compact set and a closed set necessarily closed?

score 5.8k · Answer 1 · 2026-04-10 23:14:58

5.8k

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Is the Minkowski sum of a compact set and a closed set necessarily closed?

Published on 10 Apr 2026 - 23:14

score 3.6k · Answer 2 · 2026-02-23 09:46:50

3.6k

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If $A$ and $B$ are compact, then so is $A+B$.

Published on 23 Feb 2026 - 9:46

score 64 · Answer 3 · 2026-04-10 21:29:26

64

Views

A finite Fibonacci sum

Published on 10 Apr 2026 - 21:29

score 67 · Answer 4 · 2026-04-10 06:55:10

67

Views

Dimension of sumset

Published on 10 Apr 2026 - 6:55

score 37 · Answer 5 · 2026-02-23 09:49:14

37

Views

Banach spaces, $\lVert\cdot\rVert_X$ and $\lVert\cdot\rVert_{X+X}$ are equivalent.

Published on 23 Feb 2026 - 9:49

score 75 · Answer 6 · 2026-02-23 09:49:14

75

Views

Minkowski sum of disks in 3D

Published on 23 Feb 2026 - 9:49

score 339 · Answer 7 · 2026-02-23 09:49:32

339

Views

Minkowski sum of the intersection of a closed and an open set with a compact set

Published on 23 Feb 2026 - 9:49

score 152 · Answer 8 · 2026-02-23 09:49:25

152

Views

For any $n-1$ non-zero elements of $\mathbb Z/n\mathbb Z$, we can make zero using $+,-$ if and only if $n$ is prime

Published on 23 Feb 2026 - 9:49

score 59 · Answer 9 · 2026-02-23 09:51:32

59

Views

Which sets of $n-1$ non-multiples of $n$ can't make a multiple of $n$ using $+,-$?

Published on 23 Feb 2026 - 9:51

score 63 · Answer 10 · 2026-02-23 09:43:22

63

Views

Sumsets : optimality of two basic inequalities

Published on 23 Feb 2026 - 9:43

score 82 · Answer 11 · 2026-02-23 09:50:50

Instead of "sum-free" sets, consider sets where $S\subset S+S$. This is trivially satisfied when $0 \in S$. Is there a subset of $S$ with sum $0$?

score 91 · Answer 12 · 2026-04-09 16:17:19

91

Views

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

Published on 09 Apr 2026 - 16:17

score 65 · Answer 13 · 2026-04-09 16:15:31

65

Views

Generating restricted finite additive $2$-bases from doubly-eager bit-strings

Published on 09 Apr 2026 - 16:15

score 41 · Answer 14 · 2026-04-10 18:56:04

41

Views

Is this true for a sumset?

Published on 10 Apr 2026 - 18:56

score 53 · Answer 15 · 2026-02-23 09:51:10

53

Views

Name for a shape consisting of the union of all spheres of a given radius centered at all points in a triangular (or tetrahedral) region?

Published on 23 Feb 2026 - 9:51

List Question

Is the Minkowski sum of a compact set and a closed set necessarily closed?

If $A$ and $B$ are compact, then so is $A+B$.

A finite Fibonacci sum

Dimension of sumset

Banach spaces, $\lVert\cdot\rVert_X$ and $\lVert\cdot\rVert_{X+X}$ are equivalent.

Minkowski sum of disks in 3D

Minkowski sum of the intersection of a closed and an open set with a compact set

For any $n-1$ non-zero elements of $\mathbb Z/n\mathbb Z$, we can make zero using $+,-$ if and only if $n$ is prime

Which sets of $n-1$ non-multiples of $n$ can't make a multiple of $n$ using $+,-$?

Sumsets : optimality of two basic inequalities

Instead of "sum-free" sets, consider sets where $S\subset S+S$. This is trivially satisfied when $0 \in S$. Is there a subset of $S$ with sum $0$?

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

Generating restricted finite additive $2$-bases from doubly-eager bit-strings

Is this true for a sumset?

Name for a shape consisting of the union of all spheres of a given radius centered at all points in a triangular (or tetrahedral) region?

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