Control and Relaxation over the Circle available in Paperback
- Pub. Date:
- American Mathematical Society
We formulate and prove a geometric version of the Fundamental Theorem of Algebraic K-Theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a finite complex and a circle with that of the complex. By using methods of controlled topology, we also obtain a geometric version of the Fundamental Theorem of Lower Algebraic K-Theory. The main new innovation is a geometrically defined Nil space.
|Publisher:||American Mathematical Society|
|Series:||Memoirs of the American Mathematical Society Series , #145|
|Product dimensions:||6.00(w) x 1.25(h) x 9.00(d)|