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Changing cofinalities and collapsing cardinals in models of set theory

✍ Scribed by Miloš S. Kurilić

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
155 KB
Volume
120
Category
Article
ISSN
0168-0072

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✦ Synopsis

If a cardinal Ä1, regular in the ground model M , is collapsed in the extension N to a cardinal Ä0 and its new coÿnality, , is less than Ä0, then, under some additional assumptions, each cardinal ¿ Ä1 less than cc(P

where f : → Ä1 is an unbounded mapping, then N is a | | = Ä0-minimal extension. This and similar results are applied to generalized forcing notions of Bukovskà y and Namba.

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