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This volume is an introduction to inner model theory, an area of
set theory which is concerned with fine structural inner models
reflecting large cardinal properties of the set theoretic universe.
The monograph contains a detailed presentation of general fine
structure theory as well as a modern approach to the construction
of small core models, namely those models containing at most one
strong cardinal, together with some of their applications. The
final part of the book is devoted to a new approach encompassing
large inner models which admit many Woodin cardinals. The
exposition is self-contained and does not assume any special
prerequisities, which should make the text comprehensible not only
to specialists but also to advanced students in Mathematical Logic
and Set Theory.
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