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Memoirs of the American Mathematical Society
2000; 96 pp; softcover
List Price: US$51
Individual Members: US$30.60
Institutional Members: US$40.80
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.
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