### Algebraic K-theory and topological spaces, by Michael Paluch

In this note we discuss the algebraic and topological K-theories of an
admissible space X and demonstrate how one may recover the connective
topological K-theory of X from the algebraic K-theory of a simplicial
ring which encodes the topological structure of the Fréchet
algebra of continuous functions on X. By considering Thomason's
formulation of hypercohomology with coefficients in a presheaf of
spectra, we present a new look at the familiar exponential sequence.

Michael Paluch <mike@math.ist.utl.pt>