Control and Relaxation over the Circle
Bruce Hughes · Stratos Prassidis
yan, 2000 · American Mathematical Society: Memoirs of the American Mathematical Society 691-kitob · American Mathematical Soc.
E-kitob
96
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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.
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