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user 24812
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
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Examples of conjectures that were widely believed to be true but later proved false
Luzin's conjecture was widely believed to be false, until it was proven by Carleson in 1966.
I'm citing from Lennart Carleson's biography:
"In 1913 Luzin conjectured that if a function $f$ is square …