Definition of Kervaire. Meaning of Kervaire. Synonyms of Kervaire

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Definition of Kervaire

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Meaning of Kervaire from wikipedia

- In mathematics, the Kervaire invariant is an invariant of a framed ( 4 k + 2 ) {\displaystyle (4k+2)} -dimensional manifold that measures whether the manifold...
- In mathematics, the Kervaire semi-characteristic, introduced by Michel Kervaire (1956), is an invariant of closed manifolds M of dimension 4 n + 1 {\displaystyle...
- Michel André Kervaire (26 April 1927 – 19 November 2007) was a French mathematician who made significant contributions to topology and algebra. He introduced...
- mathematics, especially differential topology and cobordism theory, a Kervaire–Milnor group is an abelian group defined as the h-cobordism classes of...
- nonstandard differential structure. Kervaire and Milnor initiated the systematic study of exotic spheres by Kervaire–Milnor groups, showing in particular...
- In mathematics, specifically in differential topology, a Kervaire manifold K 4 n + 2 {\displaystyle K^{4n+2}} is a piecewise-linear manifold of dimension...
- } and these invariants do not always vanish for other dimensions. The Kervaire invariant is a mod 2 (i.e., an element of Z / 2 {\displaystyle \mathbf...
- the Rokhlin invariant of integral homology 3-sphere. The Kervaire–Milnor theorem (Kervaire & Milnor 1960) states that if Σ {\displaystyle \Sigma } is...
- the dimension is not 4. The classification of exotic spheres by Michel Kervaire and Milnor (1963) showed that the oriented exotic 7-spheres are the non-trivial...
- one smooth structure—see Exotic sphere and Donaldson's theorem. Michel Kervaire exhibited topological manifolds with no smooth structure at all. Some constructions...