Loading...
On Q-sets
Fleissner, William G. Miller, Arnold W.
Fleissner, William G.
Miller, Arnold W.
Citations
Altmetric:
Abstract
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.
Description
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0002-9939-1980-0550513-4. First published in Proc. AMS. in 1980, published by the American Mathematical Society.
Date
1980-02-01
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Collections
Research Projects
Organizational Units
Journal Issue
Keywords
Q set, iterated forcing, pathological sets of reals, normal Moore space conjecture
Citation
Fleissner, William G. & Miller, Arnold W. "On Q-sets." Proc. AMS. (1980) 78, 2. 280-284. http://www.dx.doi.org/10.1090/S0002-9939-1980-0550513-4.