Journal: Münster Journal of Mathematics

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Universität Münster

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  • Turchin, Victor; Willwacher, Thomas (2021)
    Münster Journal of Mathematics
    We study the spaces of embeddings S-m hooked right arrow R-n and those of long embeddings R-m hooked right arrow R-n, i. e. embeddings of a fixed behavior outside a compact set. More precisely, we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. We find a natural fiber sequence relating these spaces. We also compare the L-infinity -algebras of diagrams that encode their rational homotopy type when the codimension n- m is at least 3.
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