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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