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math.LO1993
Extensions of the Erdős-Rado Theorem
J. Baumgartner, A. Hajnal. S. Todorcevic
We establish a variety of extensions to the Erdos-Rado Theorem, particularly involving ordinal numbers, and always involving ordinary partition relations. Most of the results can b…
math.LO1993
Ultrafilters on omega
James E. Baumgartner
A variety of classes of naturally arising ultrafilters on omega is discussed, and the question is raised whether it is consistent that the classes are empty. Since all the classes…