Given a field F, Quillen defined K-groups to be the higher homotopy groups of a space . Though apparently the space itself can be easily and explicitly constructed, the K-groups are mysterious gadgets. 172 more words

## Tags » K-theory

#### Some thoughts regarding M-theory

One of the things that I was thinking a bit more about recently was the nature of what the theory previously known as string theory is supposed to be about. 1,325 more words

#### Application of Approximate Diagonalization of Commutative C*-Algebras to Invariants

The premise of my dissertation is founded on the idea that matrices over *C**-algebras are important and that approximate diagonalization would make dealing with such matrices easier. 529 more words