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.

Part 1: The Homotopy of Configuration Spaces. Basic Fibrations. Configuration space of Euclidean Space. Configuration spaces on spheres. The two-dimensional case. Part 2: The cohomology algebra of configuration spaces. Cellular models. Cellular chain models. Part 3: The Homology of Based Loops RPT-Constructions. Cellular chain algebra models The Serre spectral sequence Computation of the homology of the free loop space Ends and Gamma category An application to problems of k-body type.

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