The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. This volume contains a detailed historical survey and bibliography of the Novikov Conjecture and of related subsequent developments.

1. Homotopy type of differentiable manifolds William Browder; 2. A history and survey of the Novikov conjecture S. C. Ferry, A. RanickI and J. Rosenberg; 3. A coarse approach to the Novikov conjecture S. C. Ferry and Shmuel Weinberger; 4. Reflections on the Novikov conjecture Mikhael Gromov; 5. K-theory, group C*-algebras and higher signatures (Conspectus) Gennadi Kasparov; 6. On the Steenrod homology theory John Milnor; 7. Controlled Fredholm Representations A. S. Mishchenko; 8. Assembly maps in bordism-type theories Frank Quin; 9. On the Novikov conjecture Andrew Ranicki.