Configuration spaces of spatial linkages: Taking Collisions Into Account

Published 25 May 2017 in math.AT and math.GT | (1705.09092v1)

Abstract: We construct a completed version C(Gamma) of the configuration space of a linkage Gamma in R³ which takes into account the ways one link can touch another. We also describe a simplified version of C(Gamma) which is a blow-up of the space of immersions of Gamma in R³ A number of simple detailed examples are given.

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