2 resultados para Divergent Sets
em DRUM (Digital Repository at the University of Maryland)
Resumo:
Although evidence of Gluck's influence on Mozart is sometimes discernible, by examining the two operas I have performed and a recital of arias by these two composers we can see clear contrasts in their approach to and expression of classical opera. The two operas discussed are Gluck's Armide and Mozart's Le Nozze di Figaro. Gluck and Mozart were both innovators but in very different ways. Gluck comes from a dramatic background (his principles have been compared to those of Wagner) and Mozart brings together dramatic excellence with the greatness of his musical genius, his gift of melody, and his ensemble writing, which is arguably unequaled in the repertory. A well-rounded performer strives to understand what the composer is really trying to say with his work, what the message to the audience is and what his particular way of conveying it is. The understanding of a composer's approach to drama and character interaction plays a huge role in character development. This applies no matter what role you are preparing whether it is baroque opera or late romantic. Discovering the ideals, style, and purpose of a composer contributes to an effective and rewarding performance experience, for those on stage, those in the pit, and those sitting in the seats.
Resumo:
The classification of minimal sets is a central theme in abstract topological dynamics. Recently this work has been strengthened and extended by consideration of homomorphisms. Background material is presented in Chapter I. Given a flow on a compact Hausdorff space, the action extends naturally to the space of closed subsets, taken with the Hausdorff topology. These hyperspaces are discussed and used to give a new characterization of almost periodic homomorphisms. Regular minimal sets may be described as minimal subsets of enveloping semigroups. Regular homomorphisms are defined in Chapter II by extending this notion to homomorphisms with minimal range. Several characterizations are obtained. In Chapter III, some additional results on homomorphisms are obtained by relativizing enveloping semigroup notions. In Veech's paper on point distal flows, hyperspaces are used to associate an almost one-to-one homomorphism with a given homomorphism of metric minimal sets. In Chapter IV, a non-metric generalization of this construction is studied in detail using the new notion of a highly proximal homomorphism. An abstract characterization is obtained, involving only the abstract properties of homomorphisms. A strengthened version of the Veech Structure Theorem for point distal flows is proved. In Chapter V, the work in the earlier chapters is applied to the study of homomorphisms for which the almost periodic elements of the associated hyperspace are all finite. In the metric case, this is equivalent to having at least one fiber finite. Strong results are obtained by first assuming regularity, and then assuming that the relative proximal relation is closed as well.