Daniel Kurz:
Cardinal Preserving Forcing of Closed Unbounded Sets into Stationary Sets
Time and place
Monday, 24.6.19, 14:15-15:15, Raum 404, Ernst-Zermelo-Str. 1
Abstract
This is the presentation of Daniel Kurz's master's thesis:\n\nWe select a result from U.Abraham's and S.Shelah's 1983 paper "Forcing\nClosed Unbounded Sets" (J.Symb.Log. Vol.48 No.3) and show how a set \(S\n\bsubseteq \bkappa\) that is a special kind of stationary ("fat") in\n\(\bkappa\) in terms of the groundmodel acquires a closed unbounded subset\nin a generic extension while cardinals \(\bleq \bkappa\) (and in some cases\nof \(\bkappa\) even all cardinals) are preserved. Here, in terms of the\ngroundmodel \(\bkappa\) is a cardinal such that either \(\bkappa = \bmu^+\),\n\(\bmu = \bmu^{< \bmu}\) an infinite cardinal, or \(\bkappa\) is strongly\ninaccessible.\n\n