Control and relaxation over the circle
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 geomet…
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- Full title :Control and relaxation over the circle / Bruce Hughes, Stratos Prassidis.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2000.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:2000.
Notes
"May 2000, volume 145, number 691 (end of volume)."
The Physical Object
- Description:1 online resource (ix, 96 pages) : : illustrations
Edition Identifiers
- ISBN:9781470402822, 1470402823
- oclc:ocn851088830
- LC Classification:QA3.A57 no. 691
- Dewey Decimal:510 s 514/.3
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