The Novikov conjecture is the only most crucial 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 themes from many issues of view: geometric topology, homotopy idea, algebra, geometry, and research. quantity 1 encompasses a precise ancient 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Novikov's unique 1970 assertion of his conjecture; an annotated challenge record; the texts of numerous very important unpublished vintage papers by way of Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture by means of Ferry/Weinberger, Gromov, Mishchenko,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 study papers through G. Carlsson on "Bounded K-theory and the meeting map in algebraic K-theory" and through S. Ferry and E. Pedersen on "Epsilon surgical procedure theory"; and shorter examine and survey papers on quite a few subject matters with regards to the Novikov conjecture, by means of Bekka, Cherix, Valette, Eichhorn, and others. those volumes will entice researchers drawn to studying extra approximately this interesting region.
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