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We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.
Jacek Świątkowski. "Estimates for homological dimension of configuration spaces of graphs." Colloquium Mathematicae 89.1 (2001): 69-79. <http://eudml.org/doc/283602>.
@article{JacekŚwiątkowski2001, abstract = {We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.}, author = {Jacek Świątkowski}, journal = {Colloquium Mathematicae}, keywords = {homological dimension; -spaces; cube complexes}, language = {eng}, number = {1}, pages = {69-79}, title = {Estimates for homological dimension of configuration spaces of graphs}, url = {http://eudml.org/doc/283602}, volume = {89}, year = {2001}, }
TY - JOUR AU - Jacek Świątkowski TI - Estimates for homological dimension of configuration spaces of graphs JO - Colloquium Mathematicae PY - 2001 VL - 89 IS - 1 SP - 69 EP - 79 AB - We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b. LA - eng KW - homological dimension; -spaces; cube complexes UR - http://eudml.org/doc/283602 ER -