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Homotopically Homogeneous Spaces and Manifolds

Homotopically Homogeneous Spaces and Manifolds

Curtis [1] originally defined a homotopically homogeneous (h.h.) space.X is h.h.if the triple (X,X,p) is a (Hurewicz) fiber space [6] where X is the deleted product X x X-diagonal, and p: X-> X is the projection on the first coordinate.The following remark, which is easily proved, motivates this definition.Remark.If X …