The Novikov conjecture is the only 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 comparable issues from many issues of view: geometric topology, homotopy conception, algebra, geometry, and research. quantity 1 incorporates a specific 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of Novikov's unique 1970 assertion of his conjecture; an annotated challenge record; the texts of numerous vital unpublished vintage papers by means of Milnor, Browder, and Kasparov; and research/survey papers at the Novikov conjecture by way of Ferry/Weinberger, Gromov, Mishchenko, Quinn, Ranicki, and Rosenberg. quantity 2 includes basic lengthy learn papers by way of 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 numerous issues with regards to the Novikov conjecture, via Bekka, Cherix, Valette, Eichhorn, and others. those volumes will entice researchers attracted to studying extra approximately this fascinating region.

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