A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On $Q$ sets

1980
*
Proceedings of the American Mathematical Society
*

A Q set is an uncountable set X of the real line such that every subset of X is an F" relative to X. It is known that die existence of a Q set is independent of and consistent with the usual axioms of set theory. We show that one cannot prove, using the usual axioms of set theory: 1. If X is a Q set men any set of reals of cardinality less than the cardinality of X is a Q set. 2. The union of a Q set and a countable set is a Q set. The existence of a Q set is a fundamental question of set

doi:10.1090/s0002-9939-1980-0550513-4
fatcat:7jgqwzsfmzgupfgcwiaqhqkk4a