In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, orientable, closed 4-manifold M has a spin structure (or...

has been studied in detail, starting with Rokhlin's theorem for 4-manifolds, and Hirzebruch signature theorem. Given a connected and oriented manifold...

(mathematical logic) Rokhlin's theorem (geometric topology) Rolle's theorem (calculus) Rosser's theorem (number theory) Rouché's theorem (complex analysis)...

Nikolai V. Ivanov, Anatoly Vershik and Oleg Viro. Rokhlin's contributions to topology include Rokhlin's theorem, a result of 1952 on the signature of 4-manifolds...

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...

parity. Unimodular lattice Donaldson theory Yang–Mills equations Rokhlin's theorem Donaldson, S. K. (1983-01-01). "An application of gauge theory to...

construct Rokhlin towers where each level is probabilistically independent of the partition. The Rokhlin lemma can be used to prove some theorems. For example...

not admit a smooth structure. This essentially demonstrates that Rokhlin's theorem holds only for smooth structures, and not topological manifolds in...

that a spin 4-manifold has signature a multiple of eight. In fact, Rokhlin's theorem implies that a smooth compact spin 4-manifold has signature a multiple...

discovered by Michael Freedman in 1982. Rokhlin's theorem shows that it has no smooth structure (as does Donaldson's theorem), and in fact, combined with the...