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Prove that the sum of two compact sets in $\mathbb R^n$ is compact.
real-analysis
compactness
sumset
If an infinite set $S$ of positive integers is equidistributed, is $S+S$ also equidistributed?
number-theory
modular-arithmetic
additive-combinatorics
sumset
If $C$ is the Cantor set, then $C+C=[0,2]$.
real-analysis
elementary-set-theory
cantor-set
sumset
If $A$ and $B$ are compact, then so is $A+B$.
functional-analysis
compactness
topological-vector-spaces
sumset
Prove that $Sup(A + B) = Sup(A) + Sup(B)$
real-analysis
supremum-and-infimum
sumset
Following up with a previous question on $\sup(A)+\sup(B) = \sup(A + B)$
real-analysis
supremum-and-infimum
sumset
Is the sum (difference) of Borel set with itself a Borel set?
descriptive-set-theory
borel-sets
sumset
Two sets $X,Y \subset [0,1]$ such that $X+Y=[0,2]$
real-analysis
measure-theory
sumset
Number of vectors so that no two subset sums are equal
combinatorics
puzzle
additive-combinatorics
sumset
Cantor set + Cantor set =$[0,2]$
real-analysis
cantor-set
sumset
Example where closure of $A+B$ is different from sum of closures of $A$ and $B$
general-topology
examples-counterexamples
sumset
Closed sum of sets
analysis
compactness
sumset
Sum of closed and compact set in a TVS
functional-analysis
compactness
topological-vector-spaces
sumset
Measure of the Cantor set plus the Cantor set
real-analysis
measure-theory
sumset
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
real-analysis
supremum-and-infimum
sumset
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