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
twelfth publication in the Perspectives in Logic series, John T.
Baldwin presents an introduction to first order stability theory,
organized around the spectrum problem: calculate the number of
models a first order theory T has in each uncountable cardinal. The
author first lays the groundwork and then moves on to three
sections: independence, dependence and prime models, and local
dimension theory. The final section returns to the spectrum
problem, presenting complete proofs of the Vaught conjecture for
-stable theories for the first time in book form. The book provides
much-needed examples, and emphasizes the connections between
abstract stability theory and module theory.
General
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