The Novikov conjecture is the one most vital unsolved challenge within the topology of high-dimensional non-simply attached 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 concept, algebra, geometry, and research. quantity 1 features a particular ancient 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of Novikov's unique 1970 assertion of his conjecture; an annotated challenge record; the texts of numerous vital unpublished vintage papers via Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture via Ferry/Weinberger, Gromov, Mishchenko, Quinn,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 includes primary 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 issues concerning the Novikov conjecture, through Bekka, Cherix, Valette, Eichhorn, and others. those volumes will entice researchers attracted to studying extra approximately this interesting sector.
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