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Kürschák Math Competition
2019 Kurschak Competition
3
3
Part of
2019 Kurschak Competition
Problems
(1)
Sum of sets
Source: Kürschák competition 2019 P3
2/11/2020
Is it true that if
H
H
H
and
A
A
A
are bounded subsets of
R
\mathbb{R}
R
, then there exists at most one set
B
B
B
such that
a
+
b
(
a
∈
A
,
b
∈
B
)
a+b(a\in A,b\in B)
a
+
b
(
a
∈
A
,
b
∈
B
)
are pairwise distinct and
H
=
A
+
B
H=A+B
H
=
A
+
B
.
combinatorics
algebra