We construct Peano curves whose "footprints" , , have boundaries and are tangent to a common continuous line field on the punctured plane . Moreover, these boundaries can be taken -close to any prescribed smooth family of ...

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Z(p). This is done by defining an index preserving morphism s: Br(<(K(X))over cap>)` --> Br(K(X))` ...