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arXiv 2002-12-24 0 views

On lambda'-sets

Miller, Arnold W.

Original · EN

A subset X of the Cantor space, 2ω, is a lambda-prime-set iff for every countable subset Y of the Cantor space Y is relatively G-delta in X union Y. In this paper we prove two forcing results about lambda-prime-sets. First we show that it is consistent that every lambda-prime-set is a gamma-set. Secondly we show that is independent whether or not every dagger-lambda-set is a lambda-prime-set.

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