Geometry and Topology of Configuration Spaces, Softcover reprint of the original 1st ed. 2001 Springer Monographs in Mathematics Series
Langue : Anglais
Auteurs : Fadell Edward R., Husseini Sufian Y.
With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology.
I. The Homotopy Theory of Configuration Spaces.- I. Basic Fibrations.- II. Configuration Space of ?n+1, n < 1.- III. Configuration Spaces of Sn+1, n < 1.- IV. The Two Dimensional Case.- II. Homology and Cohomology of $$(\mathbb{F}_k (M)$$.- V. The Algebra $$H^* (\mathbb{F}_k (M);\mathbb{Z})$$.- VI. Cellular Models.- VII. Cellular Chain Models.- III. Homology and Cohomology of Loop Spaces.- VIII. The Algebra $$H_* (\Omega \mathbb{F}_k (M)))$$.- IX. RPT-Constructions.- X. Cellular Chain Algebra Models.- XI. The Serre Spectral Sequence.- XII. Computation of H*(?(M)).- XIII. ?-Category and Ends.- XIV. Problems of k-body Type.- References.
Self-contained treatment of the topology of configuration spaces Distinctive feature: it is more geometric than is traditional More accessible account by the present authors as well as a consolidation of many results Includes supplementary material: sn.pub/extras
Date de parution : 10-2012
Ouvrage de 313 p.
15.5x23.5 cm
Date de parution : 11-2000
Ouvrage de 313 p.
15.5x23.5 cm
Thèmes de Geometry and Topology of Configuration Spaces :
Mots-clés :
Algebraic topology; Homotopy; Loop group; cohomology; fibrations; homology; homotopy theory
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