Skip to content

Erdős problem 949

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?

No current result

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

Retained declaration

FormalConjectures/ErdosProblems/949.lean

Formal Conjectures

FormalConjectures/ErdosProblems/949.leanErdos949.erdos_9491 lineExact file
True ↔ ∀ (S : Set ℝ), (∀ a ∈ S, ∀ b ∈ S, a + b ∉ S) → ∃ A ⊆ Sᶜ, Cardinal.mk ↑A = Cardinal.continuum ∧ A + A ⊆ Sᶜ
OpenStatement only, no proof

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

Continue

Start a contributionBrowse the source filesOpen the collection entry

Search problems.science

Find a Problem, Result, source, or page