High Quality Content by WIKIPEDIA articles! The concept of a Suslin set was first used by Mikhail Yakovlevich Suslin when he was researching the properties of projections of Borel sets in R^2 onto the real axis. Lebesgue believed he had proved that such a projection was also a Borel set, but an error was spotted by Suslin.Suslin sets have since been used in various areas of mathematics such as potential theory, measure theory and the study of fractals.There is some variation in the ways in which Suslin sets are defined in mathematical literature. In this article we follow what is probably the most common definition. In a metric space (X,d), the Suslin sets are the sets of the form

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