Title
Combinatorial images of sets of reals and semifilter trichotomy
Abstract
Using a dictionary translating a variety of classical and modem covering properties into combinatorial properties of continuous images, we get a simple way to understand the interrelations between these properties in ZFC and in the realm of the trichotomy axiom for upward closed families of sets of natural numbers. while it is now known that the answer to the Hurewicz 1927 problem is positive. it is shown here that semifilter trichotomy implies a negative answer to a slightly stronger form of this problem.
Year
DOI
Venue
2008
10.2178/jsl/1230396918
JOURNAL OF SYMBOLIC LOGIC
Keywords
DocType
Volume
Scheepers property,semifilter trichotomy
Journal
73
Issue
ISSN
Citations 
4
0022-4812
2
PageRank 
References 
Authors
0.55
7
2
Name
Order
Citations
PageRank
Boaz Tsaban114122.37
Lyubomyr Zdomskyy2236.72