Ever since Paul Cohen's spectacular use of the forcing concept to
prove the independence of the continuum hypothesis from the
standard axioms of set theory, forcing has been seen by the general
mathematical community as a subject of great intrinsic interest but
one that is technically so forbidding that it is only accessible to
specialists. In the past decade, a series of remarkable solutions
to long-standing problems in C*-algebra using set-theoretic
methods, many achieved by the author and his collaborators, have
generated new interest in this subject. This is the first book
aimed at explaining forcing to general mathematicians. It
simultaneously makes the subject broadly accessible by explaining
it in a clear, simple manner, and surveys advanced applications of
set theory to mainstream topics.
General
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