JP Journal of Geometry and Topology
Volume 20, Issue 1, Pages 1 - 26
(February 2017) http://dx.doi.org/10.17654/GT020010001 |
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TOPOLOGICAL COMPLEXITY (WITHIN 1) OF THE SPACE OF ISOMETRY CLASSES OF PLANAR n-GONS FOR SUFFICIENTLY LARGE n
Donald M. Davis
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Abstract: Hausmann and Rodriguez classified spaces of isometry classes of planar n-gons according to their genetic code which is a collection of sets (called genes) containing n. Omitting the n yields what we call gees. We prove that, for a set of gees with largest gee of size the topological complexity (TC) of the associated space of n-gons is either or if We present evidence that suggests that it is very rare that the TC is not equal to or
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Keywords and phrases: topological complexity, planar polygon spaces. |
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