Title
On Coherent Families Of Finite-To-One Functions
Abstract
We consider the existence of coherent families of finite-to-one functions on countable subsets of an uncountable cardinal kappa. The existence of such families for kappa implies the existence of a winning 2-tactic for player TWO in the countable-finite game on kappa. We prove that coherent families exist on kappa = omega(n), where n is-an-element-of omega, and that they consistently exist for every cardinal kappa. We also prove that iterations of Axiom A forcings with countable supports are Axiom A.
Year
DOI
Venue
1993
10.2307/2275329
JOURNAL OF SYMBOLIC LOGIC
DocType
Volume
Issue
Journal
58
1
ISSN
Citations 
PageRank 
0022-4812
3
0.54
References 
Authors
1
1
Name
Order
Citations
PageRank
Piotr Koszmider161.79