The Novikov conjecture is the one most vital unsolved challenge within the topology of high-dimensional non-simply hooked up manifolds. those volumes provide a photograph of the prestige of labor at the Novikov conjecture and similar subject matters from many issues of view: geometric topology, homotopy idea, algebra, geometry, and research. quantity 1 incorporates a distinct old survey and bibliography of the Novikov conjecture and of comparable 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Novikov's unique 1970 assertion of his conjecture; an annotated challenge record; the texts of numerous very important unpublished vintage papers via Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture via Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. quantity 2 comprises basic lengthy study papers via 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 examine and survey papers on a variety of subject matters relating to the Novikov conjecture, by means of Bekka, Cherix, Valette, Eichhorn, and others. those volumes will attract researchers attracted to studying extra approximately this interesting quarter.
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