Articles liés à Control and Relaxation over the Circle

Control and Relaxation over the Circle - Couverture souple

Hughes, Bruce; Prassidis, Stratos

 
9780821820698: Control and Relaxation over the Circle

Synopsis

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.

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