William G. Dwyer's Books

Homotopy Theoretic Methods in Group Cohomology

By: William G. Dwyer,Hans-Werner Henn

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Homotopy Theoretic Methods in Group Cohomology

By: William G. Dwyer,Hans-Werner Henn

This book consists essentially of notes which were written for an Advanced Course on Classifying Spaces and Cohomology of Groups. The course took place at the Centre de Recerca Mathematica (CRM) in Bellaterra from May 27 to June 2, 1998 and was part of an emphasis semester on Algebraic Topology. It consisted of two parallel series of 6 lectures of 90 minutes each and was intended as an introduction to new homotopy theoretic methods in group cohomology. The first part of the book is concerned with methods of decomposing the classifying space of a finite group into pieces made of classifying spaces of appropriate subgroups. Such decompositions have been used with great success in the last 10-15 years in the homotopy theory of classifying spaces of compact Lie groups and p-compact groups in the sense of Dwyer and Wilkerson. For simplicity the emphasis here is on finite groups and on homological properties of various decompositions known as centralizer resp. normalizer resp. subgroup decomposition. A unified treatment of the various decompositions is given and the relations between them are explored. This is preceeded by a detailed discussion of basic notions such as classifying spaces, simplicial complexes and homotopy colimits.

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Page Count

106

Publisher

Birkhäuser

Published Date

ISBN 10

3034883560

ISBN 13

9783034883566

Homotopy Limit Functors on Model Categories and Homotopical Categories

By: William G. Dwyer

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Homotopy Limit Functors on Model Categories and Homotopical Categories

By: William G. Dwyer

The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations. Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy theoretic ideas are becoming important, such as algebraic $K$-theory and algebraic geometry. The authors' approach is to define the notion of a homotopical category, which is more general than that of a model category, and to consider model categories as special cases of this. A homotopical category is a category with only a single distinguished class of maps, called weak equivalences, subject to an appropriate axiom. This enables one to define ``homotopical'' versions of such basic categorical notions as initial and terminal objects, colimit and limit functors, cocompleteness and completeness, adjunctions, Kan extensions, and universal properties. There are two essentially self-contained parts, and part II logically precedes part I. Part II defines and develops the notion of a homotopical category and can be considered as the beginnings of a kind of ``relative'' category theory. The results of part II are used in part I to obtain a deeper understanding of model categories. The authors show in particular that model categories are homotopically cocomplete and complete in a sense stronger than just the requirement of the existence of small homotopy colimit and limit functors. A reader of part II is assumed to have only some familiarity with the above-mentioned categorical notions. Those who read part I, and especially its introductory chapter, should also know something about model categories.

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Page Count

194

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821839756

ISBN 13

9780821839751

Plantwide Dynamic Simulators in Chemical Processing and Control

By: William Luyben

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Plantwide Dynamic Simulators in Chemical Processing and Control

By: William Luyben

Presenting efficient and effective methods for developing dynamic simulations of chemical processes, this reference illustrates the techniques and fundamentals to develop, design, and test plantwide regulatory control schemes with commercial dynamic simulation packages. It provides case studies analyzing a wide variety of systems-ranging from simpl

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Page Count

448

Publisher

CRC Press

Published Date

ISBN 10

1482275805

ISBN 13

9781482275803

The Education Gap

Vouchers and Urban Schools

By: William G. Howell,Paul E. Peterson

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The Education Gap

Vouchers and Urban Schools

By: William G. Howell,Paul E. Peterson

The voucher debate has been both intense and ideologically polarizing, in good part because so little is known about how voucher programs operate in practice. In The Education Gap, William Howell and Paul Peterson report new findings drawn from the most comprehensive study on vouchers conducted to date. Added to the paperback edition of this groundbreaking volume are the authors' insights into the latest school choice developments in American education, including new voucher initiatives, charter school expansion, and public-school choice under No Child Left Behind. The authors review the significance of state and federal court decisions as well as recent scholarly debates over choice impacts on student performance. In addition, the authors present new findings on which parents choose private schools and the consequences the decision has for their children's education. Updated and expanded, The Education Gap remains an indispensable source of original research on school vouchers. "This is the most important book ever written on the subject of vouchers."—John E. Brandl, dean, Hubert H. Humphrey Institute of Public Affairs, University of Minnesota "The Education Gap will provide an important intellectual battleground for the debate over vouchers for years to come."—Alan B. Krueger, Princeton University "Must reading for anyone interested in the battle over vouchers in America."—John Witte, University of Wisconsin

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Page Count

364

Publisher

Rowman & Littlefield

Published Date

ISBN 10

081573686X

ISBN 13

9780815736868

Nephrology and Fluid/Electrolyte Physiology

Neonatology Questions and Controversies

By: William Oh

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Nephrology and Fluid/Electrolyte Physiology

Neonatology Questions and Controversies

By: William Oh

Dr. Richard Polin's Neonatology Questions and Controversies series highlights the most challenging aspects of neonatal care, offering trustworthy guidance on up-to-date diagnostic and treatment options in the field. In each volume, renowned experts address the clinical problems of greatest concern to today's practitioners, helping you handle difficult practice issues and provide optimal, evidence-based care to every patient. - Stay fully up to date in this fast-changing field with Nephrology and Fluid/Electrolyte Physiology, 3rd Edition. - New chapters on Inherited Disorders of Calcium, Phosphate and Magnesium; Fluid and Electrolyte Management of High Risk Infants; Renal Development and Molecular Pathogenesis of Renal Dysplasia; and Prenatal Programming, which describes how prenatal insults can result in hypertension, kidney and cardiovascular disease. - The most current clinical information, including new content on the molecular basis for hereditary tubulopathies and inherited disorders of calcium, phosphate, and magnesium homeostasis. - New information on genetics and pharmacology, neonatal hypertension, diuretic use in the newborn, prenatal programming of adult diseases, lung fluid balance, and much more. - Consistent chapter organization to help you find information quickly and easily. - The most authoritative advice available from world-class neonatologists who share their knowledge of new trends and developments in neonatal care. Purchase each volume individually, or get the entire 7-volume set!Gastroenterology and NutritionHematology, Immunology and GeneticsHemodynamics and CardiologyInfectious Disease and Pharmacology New Volume!Nephrology and Fluid/Electrolyte PhysiologyNeurologyThe Newborn Lung

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Page Count

472

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

0323568777

ISBN 13

9780323568777

The Law of Contracts

Vol. II

By: Theophilus Parsons,William Vail Kellen

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The Law of Contracts

Vol. II

By: Theophilus Parsons,William Vail Kellen

Reprint of the original, first published in 1883.

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Page Count

970

Publisher

BoD – Books on Demand

Published Date

ISBN 10

338535434X

ISBN 13

9783385354340

German Diplomatic Relations 1871-1945

The Wilhelmstrasse and the Formulation of Foreign Policy

By: William Young

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German Diplomatic Relations 1871-1945

The Wilhelmstrasse and the Formulation of Foreign Policy

By: William Young

Examines the continuity of German Foreign Office influence in the forumlation of foreign policy under the leadership of Otto von Bismarck (1862-1890), Kaiser William II (1888-1918), the Weimar Republic (1919-1933), and Adolf Hitler (1933-1945)

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Page Count

408

Publisher

iUniverse

Published Date

ISBN 10

0595407064

ISBN 13

9780595407064

Book's by William G. Dwyer

Homotopy Theoretic Methods in Group Cohomology

Homotopy Theoretic Methods in Group Cohomology

Homotopy Limit Functors on Model Categories and Homotopical Categories

Homotopy Limit Functors on Model Categories and Homotopical Categories

Plantwide Dynamic Simulators in Chemical Processing and Control

Plantwide Dynamic Simulators in Chemical Processing and Control

The Education Gap

The Education Gap

Nephrology and Fluid/Electrolyte Physiology

Nephrology and Fluid/Electrolyte Physiology

The Law of Contracts

The Law of Contracts

German Diplomatic Relations 1871-1945

German Diplomatic Relations 1871-1945

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