Nonreflecting Stationary Sets in Pκλ

نویسنده

  • MASAHIRO SHIOYA
چکیده

Let κ be a regular uncountable cardinal and λ ≥ κ. The principle of stationary reflection for Pκλ has been successful in settling problems of infinite combinatorics in the case κ = ω1. For a greater κ the principle is known to fail at some λ. This note shows that it fails at every λ if κ is the successor of a regular uncountable cardinal or κ is countably closed.

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تاریخ انتشار 2004