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Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, Univ...
Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.
Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several different approaches have been used to understand this phenomenon. This text provides an account of those approaches, involving varied objects & domains as combinatorial group theory, self-distributive algebra & finite combinatorics.
This is the first comprehensive, multidisciplinary, and multilingual bibliography on "Women and Gender in East Central Europe and the Balkans (Vol. 1)" and "The Lands of the Former Soviet Union (Vol. 2)" over the past millennium. The coverage encompasses the relevant territories of the Russian, Hapsburg, and Ottoman empires, Germany and Greece, and the Jewish and Roma diasporas. Topics range from legal status and marital customs to economic participation and gender roles, plus unparalleled documentation of women writers and artists, and autobiographical works of all kinds. The volumes include approximately 30,000 bibliographic entries on works published through the end of 2000, as well as web sites and unpublished dissertations. Many of the individual entries are annotated with brief descriptions of major works and the tables of contents for collections and anthologies. The entries are cross-referenced and each volume includes indexes.
This book explores the public debates among scholars that took place in Early Cold War Poland. The author challenges the traditional narrative on the ‘Sovietisation’ of Central and Eastern European countries and proposes to see this process not as a spread of Marxist ideology or a Soviet institutional model, but as an attempt to force scholars to rapidly adopt new academic and civic virtues. This book argues that this project failed to succeed in Poland and shows how the struggle against these new virtues united both Marxist and non-Marxist scholars. While covering the arc of Polish scholarly debates, the author invites the reader to go beyond Poland and to use ‘virtues’ as a framework for reflections on both the foundations of scholarly practice and the ‘nature’ of authoritarian regimes with their ambition to teach scholars how to be ‘virtuous.’
This volume contains the refereed proceedings of the conference.
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.