By Steven C. Ferry, Andrew Ranicki, Jonathan M. Rosenberg

The Novikov conjecture is the one most crucial unsolved challenge within the topology of high-dimensional non-simply hooked up manifolds. those volumes supply a image of the prestige of labor at the Novikov conjecture and comparable themes from many issues of view: geometric topology, homotopy concept, algebra, geometry, and research. quantity 1 encompasses a distinctive old survey and bibliography of the Novikov conjecture and of similar next advancements, together with an annotated reprint (both within the unique Russian and in English translation) of Novikov's unique 1970 assertion of his conjecture; an annotated challenge checklist; the texts of numerous very important unpublished vintage papers by means of Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture by means of Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. quantity 2 includes basic lengthy examine papers by means of G. Carlsson on "Bounded K-theory and the meeting map in algebraic K-theory" and by way of S. Ferry and E. Pedersen on "Epsilon surgical procedure theory"; and shorter learn and survey papers on quite a few subject matters relating to the Novikov conjecture, via Bekka, Cherix, Valette, Eichhorn, and others. those volumes will entice researchers attracted to studying extra approximately this fascinating sector.