A K-Theory Approach to Characterize Admissible Physical Manifolds.

In this work we will classify physically admissible manifold structures by the use of Waldhausen categories. These categories give rise to algebraic K-Theory. Moreover, we will show that a universal K-spectrum is necessary for a physical manifold being admissible. Application to the generalized structure of D-branes are also provided. This might give novel insights in how the manifold structure in String and M-Theory looks like. [ABSTRACT FROM AUTHOR]