| || || || || || || |
Memoirs of the American Mathematical Society
2000; 96 pp; softcover
List Price: US$48
Individual Members: US$28.80
Institutional Members: US$38.40
Order Code: MEMO/145/691
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.
Graduate students and research mathematicians interested in algebraic topology and algebraic \(K\)-theory.
Table of Contents
AMS Home |
© Copyright 2014, American Mathematical Society