Skip to content

Erdős problem 189

Start work

If R2\mathbb{R}^2 is finitely coloured then must there exist some colour class which contains the vertices of a rectangle of every area?

Erdős Problems records this as disproved (Lean).

No Repository has ruled on it here.

How far the record reaches4 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal3 retained
  4. Resolutiondisproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingWork

Nothing here has checked that finding.

Reproducing it here turns a report into evidence.

Open the work surface
Where the source files it217 share a topic
Ramsey Theory114Geometry110
Erdős problem 94accepted
Carrying a Standing. Browse the topic.
Start workOpen sources