Diverse Homogeneous Sets
نویسندگان
چکیده
A set HE w is said to be diverse with respect to a partition II of w if at least two pieces of I7 have an infinite intersection with H. A family of partitions of w has the Ramsey property if, whenever Co] is two-colored, some monochromatic set is diverse with respect to at least one partition in the family. We show that no countable collection of even infinite partitions of CIJ has the Ramsey property, but there always exists a collection of Et, finite partitions of o with the Ramsey property.
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 59 شماره
صفحات -
تاریخ انتشار 1992