The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
As the sectional crisis gripped the United States, the rancor increasingly spread to the halls of Congress. Preston Brooks's frenzied assault on Charles Sumner was perhaps the most notorious evidence of the dangerous divide between proslavery Democrats and the new antislavery Republican Party. But as disunion loomed, rifts within the majority Democratic Party were every bit as consequential. And nowhere was the fracture more apparent than in the raging debates between Illinois's Stephen Douglas and Mississippi's Jefferson Davis. As leaders of the Democrats' northern and southern factions before the Civil War, their passionate conflict of words and ideas has been overshadowed by their opposition to Abraham Lincoln. But here, weaving together biography and political history, Michael E. Woods restores Davis and Douglas's fatefully entwined lives and careers to the center of the Civil War era. Operating on personal, partisan, and national levels, Woods traces the deep roots of Democrats' internal strife, with fault lines drawn around fundamental questions of property rights and majority rule. Neither belief in white supremacy nor expansionist zeal could reconcile Douglas and Davis's factions as their constituents formed their own lines in the proverbial soil of westward expansion. The first major reinterpretation of the Democratic Party's internal schism in more than a generation, Arguing until Doomsday shows how two leading antebellum politicians ultimately shattered their party and hastened the coming of the Civil War.
In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Blending social, intellectual, legal, medical, gender, and cultural history, Segregation's Science: Eugenics and Society in Virginia examines how eugenic theory and practice bolstered Virginia's various cultures of segregation--rich from poor, sick from well, able from disabled, male from female, and black from white and Native American. Famously articulated by Thomas Jefferson, ideas about biological inequalities among groups evolved throughout the nineteenth century. By the early twentieth century, proponents of eugenics--the "science" of racial improvement--melded evolutionary biology and incipient genetics with long-standing cultural racism. The resulting theories, taught to generations of Virginia high school, college, and medical students, became social policy as Virginia legislators passed eugenic marriage and sterilization statutes. The enforcement of these laws victimized men and women labeled "feebleminded," African Americans, and Native Americans for over forty years. However, this is much more than the story of majority agents dominating minority subjects. Although white elites were the first to champion eugenics, by the 1910s African American Virginians were advancing their own hereditarian ideas, creating an effective counter-narrative to white scientific racism. Ultimately, segregation's science contained the seeds of biological determinism's undoing, realized through the civil, women's, Native American, and welfare rights movements. Of interest to historians, educators, biologists, physicians, and social workers, this study reminds readers that science is socially constructed; the syllogism "Science is objective; objective things are moral; therefore science is moral" remains as potentially dangerous and misleading today as it was in the past.
With your heavy case load, you can't afford to waste time searching for answers. Cardiology, 3rd Edition, by Drs. Crawford, DiMarco, and Paulus, offers you just the practical, problem-based guidance you need to quickly overcome any clinical challenge. 8 color-coded sections cover the 8 major clinical syndromes of cardiovascular disease—each section a virtual "mini textbook" on its topic! 40 new chapters keep you up to date with the latest advances in the field, while more than 2,000 lavish, high-quality illustrations, color photographs, tables, and ECGs capture clinical manifestations as they present in practice. It’s current, actionable information that you can put to work immediately for your patients! Offers a problem-based approach that integrates basic science, diagnostic investigations, and therapeutic management in one place for each cardiovascular disease so you can quickly find all of the actionable knowledge you need without flipping from one section to another. Features introductory bulleted highlights in each chapter that present the most pertinent information at a glance. Presents abundant algorithms to expedite clinical decision making. Includes more than 2,000 lavish, high-quality illustrations, color photographs, tables, and ECGs that capture clinical manifestations as they present in practice, and promote readability and retention. Includes 40 new chapters including Inherited Arrhythmia Syndromes, Implantable Cardioverter-Defibrillators and Cardiac Resynchronization Therapy in CHD, Management of the Cyanotic Patient with CHD, Special Problems for the Cardiology Consultant Dealing with Bariatric/Gastric Bypass — and many more — that equip you with all of the latest knowledge. Presents "Special Problem" sections—many new to this edition—that provide practical advice on problems that can be difficult to treat.
This book includes a chronological listing of issues of the Dime Novel Roundup, which was published for over fifty years. It also features an index to the contents of the Dime Novel Roundup. .
Often forgotten among the actors, directors, producers and others associated with filmmaking, art directors are responsible for making movies visually appealing to audiences. As such they sometimes make the difference between a hit and a bomb. This biographical dictionary includes not only the world's great and almost-great artists, but the unjustly neglected film designers of the past and present. Among the more than 300 art directors and designers are pioneers from silent films, designers from Hollywood and Europe's Golden Ages, Asian figures, post-Golden Age personalities, leaders of the European and American New Waves, and many contemporary designers. Each entry consists of biographical information, an analysis of the director's career and important films, and an extensive filmography including mentions of Academy Award nominations and winners.
Freemasons are accused of worshipping Lucifer. This book examines the concept of Lucifer, and its effect on everyday life. There is more than meets the eye, so we present the true purpose and meaning of Lucifer.
This fully revised and updated second edition provides a complete introduction to aging and mental health for psychology students taking courses in aging as well as for academics and practitioners working in the field of gerontology. Offers a comprehensive review of models of mental health and mental illness, along with their implications for treatment of older adults Provides a pragmatic analysis of assessment and treatment approaches that both students and practitioners will find useful Uses case studies to link theory and practice Fully updated to include discussion of the development and implementation of evidence-based treatment protocols in the field of mental health; the increasing prevalence of cognitive impairment and an appreciation of its implications for a variety of functional behaviors; and a changing understanding of long-term care away from a focus on institutional care and toward a broader spectrum of services
The unforgettable love story that brought us the Academy Award-winning song "Falling Slowly" is now a hit Broadway musical! The songs of Glen Hansard and Mark'ta Irglov? are brought to life anew in a soaring musical theatre setting based on John Carney's smash film. This official sheet music companion folio to the stage version allows music makers to apply their own talent to the beloved score of Once. The 12 selections are based on the renditions from the Original Broadway Cast Recording, arranged for piano and voice, with basic chord fingering grids included for guitarists. Titles: Leave * Falling Slowly * The Moon * If You Want Me * Broken Hearted Hoover Fixer Sucker Guy * Say It to Me Now * Gold * Sleeping * When Your Mind's Made Up * The Hill * Gold (a cappella) * Falling Slowly (reprise).
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