Hausmann and Rodriguez classified spaces of isometry classes of planar n-gonsaccording 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 setof gees with largest gee of size k>0, the topological complexity (TC) of theassociated space of n-gons is either 2n-5 or 2n-6 if n>2k+2. We presentevidence that suggests that it is very rare that the TC is not equal to 2n-5 or2n-6.
展开▼
