Stellar Braiding
classification
🧮 math.GT
math.GR
keywords
betaretractstarbraidbraidingconfigurationconstructcorresponding
read the original abstract
We construct a one-dimensional deformation retract of the unordered k-point configuration space of a star S. This retract suggests an explicit set of free generators Beta_k for the corresponding braid group of the star B_k and shows that the natural map from B_k-1 to B_k sends Beta_k-1 to Beta_k injectively.
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