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Geometry and Topology of Configuration Spaces

Edward R. Fadell Sufian Y. Husseini

$251.95   $201.58

Hardback

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
27 November 2000
The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type.
By:   ,
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   2001 ed.
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 19mm
Weight:   1.430kg
ISBN:   9783540666691
ISBN 10:   3540666699
Series:   Springer Monographs in Mathematics
Pages:   313
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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