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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive
Uspekhi Mat. Nauk, 2019 Volume 74, Issue 3(447), Pages 167–184 (Mi rm9882)
This article is cited in 1 paper

The Novikov conjecture

G. Yu

Texas A&M University, College Station, TX, USA

Abstract: This is a survey of recent developments on the Novikov conjecture and its applications to topological rigidity and non-rigidity.
Bibliography: 77 titles.

Keywords: Novikov conjecture, Baum–Connes conjecture, $K$-theory, geometric group theory.

UDC: 515.14+515.16

MSC: Primary 19K56; Secondary 57R20, 19K35, 20F65, 57M07

Received: 24.12.2018

DOI: 10.4213/rm9882


 English version: Russian Mathematical Surveys, 2019, 74:3, 525–541

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© Steklov Math. Inst. of RAS, 2024