The Novikov conjecture is the only most vital unsolved challenge within the topology of high-dimensional non-simply hooked up manifolds. those volumes provide a image 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 includes a precise 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of Novikov's unique 1970 assertion of his conjecture; an annotated challenge checklist; the texts of a number of vital unpublished vintage papers through Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture via Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. quantity 2 includes primary lengthy examine papers by means of G. Carlsson on "Bounded K-theory and the meeting map in algebraic K-theory" and via S. Ferry and E. Pedersen on "Epsilon surgical procedure theory"; and shorter learn and survey papers on a number of subject matters concerning the Novikov conjecture, via Bekka, Cherix, Valette, Eichhorn, and others. those volumes will attract researchers attracted to studying extra approximately this exciting region.
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