Homotopy type of Euclidean configuration spaces
Let denote the configuration space of pairwise-disjoint -tuples of points in . In this short note the author describes a cellular structure for when . From results in [ and , The homology of iterated loop spaces, Lect. Notes Math. 533 (1976; Zbl 0334.55009)], the integral (co)homology of is well-understood. This allows an identification of the location of the cells of in a minimal cell decomposition. Somewhat more detail is provided by the main result here, in which the attaching maps...