Title
A Formalism for Some Class of Forcing Notions.
Abstract
We introduce a deuce of forcing notions, called forcing notions of type SC, which contains among other Sacks forcing, Sm-Silver forcing and their iterations and products with countable supports. We construct and investigate some formalism suitable for this forcing notions, which allows all standard tricks for iterations or products with countable supports of Sacks forcing. On the other hand it does not involve internal sr structure of conditions of iterations or products. We prove that the class of forcing notions of type SC is closed under products and certain iterations with countable supports. MSC: 03C25, 03E40.
Year
DOI
Venue
1992
10.1002/malq.19920380140
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK
Keywords
Field
DocType
SACKS FORCING,PRIKRY-SILVER FORCING,ITERATION OF FORCING NOTIONS,PRODUCT OF FORCING NOTIONS
Discrete mathematics,Countable set,Pure mathematics,Forcing (mathematics),Formalism (philosophy),Mathematics
Journal
Volume
Issue
ISSN
38
5-6
0044-3050
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Piotr Koszmider161.79
P. Koszmider200.34