Derivations of a Sullivan Model and the Rationalized G -Sequence

Let G k , n ℂ for 2 ≤ k < n denote the Grassmann manifold of k -dimensional vector subspaces of ℂ n . In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the G -sequence of the inclusion G 2 , n ℂ ↣ G 2 , n + r ℂ for r ≥ 1 .

ON A DYNAMICS APPROACH TO WETTING TRANSITIONS

In a recent development, wetting transition is considered in the dynamics approach in which the wetting problem of the Sullivan model is equivalent to a classical particle moving in a force field. This article reviews this recent development for modeled solid-fluid interfaces and phase transitions in confined fluids. A simple dynamics approach within van der Waals framework is formulated and applied to various wetting problems which are transformed into problems in classical dynamics. Emphasis is placed on the order of the transitions.