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arXiv · 1501.02821

Real projective space as a space of planar polygons

Donald M. Davis
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Abstract

We prove that real projective space RP^{n-3} is homeomorphic to the space of all isometry classes of n-gons in the plane with one side of length n-2 and all other sides of length 1. This makes the topological complexity of real projective space more relevant to robotics.

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Donald M. Davis. 2015-01-16. Real projective space as a space of planar polygons. https://arxiv.org/abs/1501.02821

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