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Erdős problem 949

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Let S⊆RS \subseteq \mathbb{R} be a set containing no solutions to a+b=ca + b = c. Must there be a set A⊆R∖SA \subseteq \mathbb{R} \setminus S of cardinality continuum such that A+A⊆R∖SA + A \subseteq \mathbb{R}\setminus S?

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Problem row
sha256:f957b09bcb5907c36ecf4bd2ac5bb8bb66757975f90fe6dbc45883277d33cd2a
Metadata
sha256:ce1bbc2add07e5d6877afdd22df6ca3ed50478a46605d0d50f60444a58d0734d
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:6540d21522173d3b6e030fc266e1a71ea412ee2bb5389e050c01cd4f8530b4b2
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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