Electronic Resource
Springer
Archive for mathematical logic
32 (1993), S. 151-171
ISSN:
1432-0665
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We use games of Kastanas to obtain a new characterization of the classC ℱ of all sets that are completely Ramsey with respect to a given happy family ℱ. We then combine this with ideas of Plewik to give a uniform proof of various results of Ellentuck, Louveau, Mathias and Milliken concerning the extent ofC ℱ. We also study some cardinals that can be associated with the ideal ℐℱ of nowhere ℱ-Ramsey sets.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01375549
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