Control and Relaxation over the Circle (eBook)

Bruce Hughes (Autor)

eBook Download: PDF

96 Seiten
American Mathematical Society (Verlag)
978-1-4704-0282-2 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-0282-3 / 1470402823
• ISBN-13: 978-1-4704-0282-2 / 9781470402822