Control and Relaxation over the Circle (Memoirs of the American Mathematical Society)

By Nott mee

This work formulates and proves 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.

• Format: Paperback
• Language: English
• ISBN: 0821820699
• ISBN13: 9780821820698
• Release Date: January 2000
• Publisher: Amer Mathematical Society
• Length: 96 Pages
• Weight: 0.48 lbs.
• Dimensions: 0.6" x 5.9" x 9.8"