English

On lambda'-sets

Logic 2007-05-23 v1

Abstract

A subset X of the Cantor space, 2^\omega, 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.

Cite

@article{arxiv.math/0212336,
  title  = {On lambda'-sets},
  author = {Arnold W. Miller},
  journal= {arXiv preprint arXiv:math/0212336},
  year   = {2007}
}

Comments

12 pages LaTeX2e