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Erdős problem 965

Erdős asks in [Er75b] if for every 2-coloring of ℝ, there is an uncountable set A⊆RA ⊆ ℝ such that all sums a+ba + b for a,b∈A,a≠ba, b ∈ A, a ≠ b have the same colour.

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/965.lean

Formal Conjectures

FormalConjectures/ErdosProblems/965.leanErdos965.erdos_9651 lineExact file
False ↔ ∀ (f : ℝ → Fin 2), ∃ A, ¬A.Countable ∧ ∀ a ∈ A, ∀ b ∈ A, ∀ c ∈ A, ∀ d ∈ A, a ≠ b → c ≠ d → f (a + b) = f (c + d)
SolvedStatement only, no proof

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