On the existence of large subsets of [lambda]<kappa which contain no unbounded non-stationary subsets
Saharon Shelah
Abstract
Here we deal with some problems posed by Matet. The first section deals with the existence of stationary subsets of [lambda]<kappa with no unbounded subsets which are not stationary, where, of course, kappa is regular uncountable less or equal than lambda. In the second section we deal with the existence of such clubs. The proofs are easy but the result seems to be very surprising. Theorem 1.2 was proved some time ago by Baumgartner and is presented here for the sake of completeness.
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