One of the great achievements of contemporary mathematics is the
new understanding of four dimensions. Michael Freedman and Frank
Quinn have been the principals in the geometric and topological
development of this subject, proving the Poincar and Annulus
conjectures respectively. Recognition for this work includes the
award of the Fields Medal of the International Congress of
Mathematicians to Freedman in 1986. In Topology of 4-Manifolds
these authors have collaborated to give a complete and accessible
account of the current state of knowledge in this field. The basic
material has been considerably simplified from the original
publications, and should be accessible to most graduate students.
The advanced material goes well beyond the literature; nearly
one-third of the book is new. This work is indispensable for any
topologist whose work includes four dimensions. It is a valuable
reference for geometers and physicists who need an awareness of the
topological side of the field. Originally published in 1990. The
Princeton Legacy Library uses the latest print-on-demand technology
to again make available previously out-of-print books from the
distinguished backlist of Princeton University Press. These
editions preserve the original texts of these important books while
presenting them in durable paperback and hardcover editions. The
goal of the Princeton Legacy Library is to vastly increase access
to the rich scholarly heritage found in the thousands of books
published by Princeton University Press since its founding in 1905.
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