# Periodicity Theorem

### Some articles on theorem, periodicity theorem:

Michael Atiyah - Mathematical Work - K Theory (1959–1974)
... by Grothendieck's proof of the Grothendieck–Riemann–Roch theorem and Bott's work on the periodicity theorem ... See Atiyah–Segal completion theorem for more details ... he extended the Grothendieck–Riemann–Roch theorem to complex analytic embeddings, and in a related paper they showed that the Hodge conjecture for integral ...
Determinator - Consequences of Determinacy - Periodicity Theorems
... The first periodicity theorem implies that, for every natural number n, if Δ12n+1 determinacy holds, then Π12n+1 and Σ12n+2 have the prewellordering property (and that Σ12n+1 ... The second periodicity theorem implies that, for every natural number n, if Δ12n+1 determinacy holds, then Π12n+1 and Σ12n have the scale property ... The third periodicity theorem gives a sufficient condition for a game to have a definable winning strategy ...

### Famous quotes containing the word theorem:

To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
Albert Camus (1913–1960)