introduction: complete adhesion of the impression materials to trays is important to prevent impression materials from being pulled away from trays during removed from the mouth and to ensure that the direction of polymerization shrinkage will be towards the tray. the aim of this study was to evaluate the effects of two retention features of custom trays (adhesive vs holes) on the dimensional a...

This paper concerns a study of three families of non-compact type symmetric spaces of infinite dimension. Although they have infinite dimension they have finite rank. More precisely, we show they have finite telescopic dimension. We also show the existence of Furstenberg maps for some group actions on these spaces. Such maps appear as a first step toward superrigidity results.

The Birman-Murakami-Wenzl algebra (BMW algebra) of type Dn is shown to be semisimple and free over Z[δ, l]/(m(1 − δ) − (l − l)) of dimension (2n +1)n!!− (2 +1)n!, where n!! = 1 ·3 · · · (2n−1). The Brauer algebra of type Dn is a homomorphic ring image and is also semisimple and free of the same dimension, but over the ring Z[δ]. A rewrite system for the Brauer algebra is used in upper bounding ...

The well-known fiber dimension theorem in algebraic geometry says that for every morphism f : X → Y of integral schemes of finite type, the dimension of every fiber of f is at least dimX−dimY . This has recently been generalized by P. Brosnan, Z. Reichstein and A. Vistoli to certain morphisms of algebraic stacks f : X → Y , where the usual dimension is replaced by essential dimension. We will p...