Title: A hodgepodge of sets of reals
Author: Arnold W. Miller
Abstract: We prove a variety of results concerning singular
sets of reals. Our results concern: Kysiak and Laver-null
sets, Kocinac and gamma-k-sets, Fleissner and square Q-sets,
Alikhani-Koopaei and minimal Q-like-sets, Rubin and
sigma-sets, and Zapletal and the Souslin number. In particular
we show that sigma-sets are Laver-null, the union of
gamma-k-sets need not be gamma-k, the existence of Q-set
implies an omega1-universal G_delta, minimal Q-like sets which
are not Q-sets exist, thin sets need not exist, and sn* is
bounded by the cardinality of the smallest nonmeager set.
Latex2e: 16 pages
Latest version at: www.math.wisc.edu/~miller