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. Large cardinal
hypotheses play a central role in modern set theory. One important
way to understand such hypotheses is to construct concrete, minimal
universes, or 'core models', satisfying them. Since Goedel's
pioneering work on the universe of constructible sets, several
larger core models satisfying stronger hypotheses have been
constructed, and these have proved quite useful. In this volume,
the eighth publication in the Lecture Notes in Logic series, Steel
extends this theory so that it can produce core models having
Woodin cardinals, a large cardinal hypothesis that is the focus of
much current research. The book is intended for advanced graduate
students and researchers in set theory.
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