MathDB

29

Part of 1982 IMO Longlists

Problems(1)

Restriction of f to the set of irrationals is injective

Source: IMO LongList 1982 - P29

3/18/2011
Let f:Rā†’Rf : \mathbb R \to \mathbb R be a continuous function. Suppose that the restriction of ff to the set of irrational numbers is injective. What can we say about ff? Answer the analogous question if ff is restricted to rationals.
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