ISBN-10:
0821820699
ISBN-13:
9780821820698
Pub. Date:
04/24/2000
Publisher:
American Mathematical Society
Control and Relaxation over the Circle

Control and Relaxation over the Circle

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Overview

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.

Product Details

ISBN-13: 9780821820698
Publisher: American Mathematical Society
Publication date: 04/24/2000
Series: Memoirs of the American Mathematical Society Series , #145
Pages: 96
Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

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