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K-Theory Of Quadratic Modules: A Study Of Roy's Elementary Orthogonal Group., A. A. Ambily Dr.

Doctoral Theses

This thesis discusses the K-theory of quadratic modules by studying Roys elementary orthogonal group of the quadratic space Q1H(P) over a commutative ring A. We estab- lish a set of commutator relations among the elementary generators of Roys elementary orthogonal group and use this to prove Quillens local-global principle for this elementary group. We also obtain a result on extendability of quadratic modules. We establish nor- mality of the elementary orthogonal group under certain conditions and prove stability results for the Ki group of this orthogonal group. We also prove that Roys elementary orthogonal group and Petrovs odd hyperbolic unitary …

Bures Distance For Completely Positive Maps And Cp-H-Extendable Maps Between Hilbert C*- Modules., Sumesh K Dr.

Doctoral Theses

Completely positive (CP-) maps are special kinds of positivity preserving maps on C ∗ -algebras. W.F. Stinespring [Sti55] obtained a structure theorem for CP-maps showing that they are closely connected with ∗-homomorphisms. W. Arveson and other operator algebraists quickly realized the importance of these maps. Presently the role of the theory of CP-maps in our understanding of C ∗ -algebras and von Neumann algebras is well recognised. It has been argued by physicists that CPmaps are physically more meaningful than just positive maps due to their stability under ampliations. From quantum probabilistic point of view CP-maps are quantum analogues of …

Chere, Wilson Andres Borja

Graduate Theses and Dissertations

Chere is research project and a thesis exhibition installation composed of a series of drawing/paintings and short animations that explores the phenomenon of migration and the African diaspora. This exploration was originated by contrasting aspects of forced and voluntary migration in addition to Kvasnyand and Hales' idea, that "Belonging everywhere or not belonging anywhere" describes the situation among people of the African diaspora.

Through research I intersperse layers of personal history with that of my ancestors and their descendants in the Americas. As a biracial person, a self-identified Afro-descendant from Colombia, South America, I am interested in the process of …

Literary Landscapes: Mapping Emergent American Identity In Transatlantic Narratives Of Women's Travel Of The Long Eighteenth Century, Leah Thomas

Theses and Dissertations

This dissertation examines intersections of the development of maps from the Native American-European encounter to the establishment of the New Republic and transatlantic British and American narratives of women’s travel of the long eighteenth century. Early European and American maps that depict the Americas analyzed as parallel “texts” to canonical and lesser-known women’s narratives ranging from 1688 to 1801 reveal further insights into both maps and these narratives otherwise not apparent. I argue that as mapping of the New World developed, this mapping influenced representations of women’s geographic and social mobility and emergent “American” identity in transatlantic narratives. These narratives, …

Aesthetically Designed Maps: Development And Perception, Catherine Wang

Graphic Communication

This research explored the creative element of subway map creation in light of its effectiveness. Printed subway maps, used often for metropolitan cities and areas, are limited in physical dimension and scale, carrying minimal information. The New York, San Francisco Bay Area, Tokyo, Paris, London and Moscow subway maps highlight similar design and abstraction that fulfill the basic necessary elements for subway patrons. Over the years since the first metro map for each city was created, maps have become more simplified by removing physical land features and reference points to make way for expanding and new subway lines, stations, and …

Borders, Anwar I. Alzeer

CGU MFA Theses

Abstraction provides me with great freedom. Mixing abstraction and imagery introduces emotions and feelings. Color plays a vitally important role in my paintings. It can sway your thinking, change your actions, and cause reactions. It can irritate or soothe your eyes, raise your blood pressure or suppress your appetite, when used in the right ways.