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PCA sets and convexity

R. Kaufman — 2000

Fundamenta Mathematicae

Three sets occurring in functional analysis are shown to be of class PCA (also called Σ 2 1 ) and to be exactly of that class. The definition of each set is close to the usual objects of modern analysis, but some subtlety causes the sets to have a greater complexity than expected. Recent work in a similar direction is in [1, 2, 10, 11, 12].

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