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- W169984559 abstract "We have seen in the previous chapters that the space (mathbb{F}_k (M)) can be described as a twisted product of simpler spaces when M is ℝ n+1 or S n+1. The simpler spaces are bouquets of n-dimensional spheres when M = ℝ n+1; when M = S n+1, they include the Stiefel manifold O n+2,2 of orthonormal 2-frames in ℝ n+2, as well. We have also seen that the space (Omega mathbb{F}_k (M)) of based loops splits as a product of the loop spaces of the split factors as spaces, but not as loop spaces. A natural question to ask is whether the space of free loops (Lambda mathbb{F}_k (M)) splits, at the homology level, as a tensor product of the homology of the split factors of (mathbb{F}_k (M)). We shall see in this chapter that this is the exception: it is true for k = 3, but not in general." @default.
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- W169984559 date "2001-01-01" @default.
- W169984559 modified "2023-09-27" @default.
- W169984559 title "Computation of H*(Λ(M))" @default.
- W169984559 doi "https://doi.org/10.1007/978-3-642-56446-8_15" @default.
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