About me and this blog. Science is too valuable not to be free. This post is about a remarkable construction due to Bestvina-Bromberg-Fujiwara. It has been first used to show that the asymptotic dimension of Mapping Class Groups is finite, and it is quite useful, for example, in this great paper. Now consider all its lifts to.

I was having fun browsing the 3D Printing marketplace Shapeways. And then I stumbled across this. And my brain exploded a little bit. Van Deventer has designed an impressive collection of cube-like puzzles. Which can only be made by 3D printing. I have an older puzzle by him called Topsy Turvy.

Be a commutative ring,. Be a multiplicatively closed subset in the sense that. Then we consider the localization. We can construct a m. And denote the corresponding local ring by. Be a prime ideal of. Is mc We denote the corresponding local ring by. Be the set of all prime ideals of. Is defined that the closed subsets are exactly. A basis for the Zariski topology on. We see that each maximal ideal.

Wir müssen wissen, wir werden wissen.

This post will be something about the distribution of eigenvalues of one dimensional discrete Schrodinger operators in absolutely continuous spectrum region. Namely, given a triple. Then these together generates a family of operators.