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Erdős problem 846

Erdős Problem 846 Let A ⊂ ℝ² be an infinite set for which there exists some ϵ>0 such that in any subset of A of size n there are always at least ϵn with no three on a line. Is it true that A is the union of a finite number of sets where no three are on a line?

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  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

Result history

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Correction history

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:ca420e087e4da4a7230d8c4f0d2d9fcf5a8e3dd96fce60c693252bbb0c10e71d
Metadata
sha256:601dda0d1b5327827f293e9a1ea68fe890e3963762fe62eac31f836939fecb4d
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:68f604c6fc7b02618e031b289d3351ee3e9645bee13f286b4b8a6be941cd30b5
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb