Edward R. Fadell, Sufian Y. Husseini

Geometry and Topology of Configuration Spaces (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 313
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642564468
• Artikelnr.: 53148766

Inhaltsangabe

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.