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Erdős problem 120

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Let A⊆RA \subseteq \mathbb{R} be an infinite set. Must there be a set E⊆RE \subseteq \mathbb{R} of positive measure which does not contain any set of the shape a∗A+ba * A + b for some a,b∈Ra,b \in \mathbb{R} and a≠0a \neq 0?

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:1b02d7dbee45430591ac5ee040e07940d1b7d991209c9d933579262a562bb6c4
Metadata
sha256:d323915804cfcefc46fa3089f405bb87ad4661d1c2b62bb7f34825fb3d67197a
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:c0a5c9a40f62bfa65a43cd388682ee78968b847b1d2f815d50e17eb61685512a
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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