6

Part of 2000 Miklós Schweitzer

Problems(1)

Miklós Schweitzer 2000, Problem 6

Source: Miklós Schweitzer 2000

Suppose the real line is decomposed into two uncountable Borel sets. Prove that a suitable translated copy of the first set intersects the second in an uncountable set.

college contestsMiklos SchweitzerBorel setreal analysis