Since their inception, the Perspectives in Logic and Lecture Notes
in Logic series have published seminal works by leading logicians.
Many of the original books in the series have been unavailable for
years, but they are now in print once again. In this volume, the
third publication in the Lecture Notes in Logic series, Mitchell
and Steel construct an inner model with a Woodin cardinal and
develop its fine structure theory. This work builds upon the
existing theory of a model of the form L[E], where E is a coherent
sequence of extenders, and relies upon the fine structure theory of
L[E] models with strong cardinals, and the theory of iteration
trees and 'backgrounded' L[E] models with Woodin cardinals. This
work is what results when fine structure meets iteration trees.
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