Spaces of Local Vector Fields
نویسندگان
چکیده
Vector fields defined only over a part of a manifold give rise to indexes and to transfers. These local vector fields form a topological space whose relation to configuration spaces was studied by Dusa McDuff, and whose higher dimensional homotopy and homology promise invariants of parametrized families of local vector fields. We show that the assignment of the transfer to the vector field gives a map from the space of local vector fields of M into Q(M+) which stablizes into a homotopy equivalence.
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