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Forcings which preserve large cardinals. (English) Zbl 1262.03105
Summary: The aim of this article is to summarise the three lectures that I gave at the Hejnice Winter School during February 2–4, 2010. In those lectures I covered the following topics:
1.
What are large cardinals?
2.
Forcings which preserve large cardinals:
a.
Failures of GCH.
b.
Cardinal characteristics at large cardinals.
c.
$$L$$-like universes and large cardinals.
##### MSC:
 3e+35 Consistency and independence results 3e+55 Large cardinals
##### Keywords:
large cardinals; forcing; $$L$$-like universes; ultrapowers
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