[PDF.58lu] Borel Liftings of Borel Sets: Some Decidable and Undecidable Statements (Memoirs of the American Mathematical Society)

Borel Liftings of Borel Sets: Some Decidable and Undecidable Statements (Memoirs of the American Mathematical Society)

[PDF.fl63] Borel Liftings of Borel Sets: Some Decidable and Undecidable Statements (Memoirs of the American Mathematical Society)

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 | #16587002 in Books |  2007-05 | Original language:English |  10.00 x7.00 x.50l,.56 | File type: PDF | 118 pages

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One of the aims of this work is to investigate some natural properties of Borel sets which are undecidable in $ZFC$. The authors' starting point is the following elementary, though non-trivial result: Consider $X \subset 2omega\times2omega$, set $Y=\pi(X)$, where $\pi$ denotes the canonical projection of $2omega\times2omega$ onto the first factor, and suppose that $(\star)$ : ""Any compact subset of $Y$ is the projection of some compact subset of $X$"". If moreover $X$ i...

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