Configuration Spaces of Rings and Wickets

Abstract

The main result in this paper is that the space of all smooth links in R isotopic to the trivial link of n components has the same homotopy type as its finite-dimensional subspace consisting of configurations of n unlinked Euclidean circles (the ‘rings’ in the title). There is also an analogous result for spaces of arcs in upper half-space, with circles… (More)

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