### Algebraic K-Theory of Non-Linear Projective Spaces, by Thomas Huettemann

Extending ideas of "The Fundamental Theorem for the Algebraic K-Theory of
Spaces: I" we introduce a category of sheaves of topological spaces on
projective n-space and prove that its K-theory is given by a product of n+1
copies of A(*). This is analogous to Quillen's result that the algebraic
K-theory of projective n-space over some commutative ring R splits as
n+1 copies of the K-theory of R.

Thomas Huettemann <huette@mathematik.uni-bielefeld.de>