The Novikov conjecture is one of the most important unsolved problems in topology. It is named for Sergei Novikov, who originally posed the conjecture in 1965. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
StatementThe higher signature is an invariant of the oriented homotopy type of M for every such map f and every such class x. 1 Proposed Year Progress Toward ResolutionThe conjecture has been proved for finitely generated abelian groups; it remains open in general, as one of the most important unsolved problems in topology. 1 Classification
Resolution Status Resolution Status Prize Status
Prize Status (category) Sources
1. Novikov Conjecture (Wikipedia)
Wikimedia FoundationLead section
who originally posed the conjecture in 1965
Precise formulation of the conjecture
states that the higher signature is an invariant of the oriented homotopy type of M for every such map f and every such class x
Lead section, proved-cases sentence
The conjecture has been proved for finitely generated abelian groups.
View the Source Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.