Geometry and Topology of Configuration Spaces

Inbunden, Engelska, 2000

Av Edward R. Fadell, Sufian Y. Husseini

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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.

Produktinformation

Utgivningsdatum2000-11-27
Mått155 x 235 x 23 mm
Vikt664 g
FormatInbunden
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor313
Upplaga2001
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540666691

Tillhör följande kategorier

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.