Authors: Todorčević, Stevo 
Title: Reals and positive partition relations
Journal: Studies in Logic and the Foundations of Mathematics
Volume: 114
Issue: C
First page: 159
Last page: 169
Issue Date: 1-Jan-1986
ISSN: 0049-237X
DOI: 10.1016/S0049-237X(09)70691-3
Abstract: 
This chapter discusses several remarks and informations about the partition relation. The chapter presents preservation theorem for uncountable cardinals κ. “Standard poset for adding a number of independent reals” means any of the standard posets for adding side-by-side a number of, for example—Cohen, random, Sacks, and Silver reals. The chapter presents a theorem for a certain class of reals, typical members of which are Sacks and Silver reals. The chapter presents the construction of long l-homogeneous sets.
Publisher: Elsevier

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