Mathematics – Geometric Topology
Scientific paper
2004-12-29
Mathematics
Geometric Topology
9 pages, 4 figures
Scientific paper
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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