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Journal of the London Mathematical Society 1979 s2-19(1):1-6; doi:10.1112/jlms/s2-19.1.1
© 1979 by London Mathematical Society
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© Oxford University Press

An Independence Result for Pinning for Ordinals

Jean A. Larson

Department of Mathematics, University of Florida Gainesville, Florida 32611, U.S.A.

For ordinals {alpha} less than {omega}1{omega}+2, the pinning relation of {alpha} to ordinals ß holds no surprises. But the statement {omega}1{omega}+2 can be pinned to {omega}2 is independent of the axioms of set theory. The proof uses facts about eventual domination of functions to show that the relation holds under one set of assumptions and fails under another set.


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