Acta Mathematica Vietnamica
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A MODEL FOR HOMOTOPY TYPE OF THE COMPLEMENT
NGUYEN VIET DUNGpp. 289-295
Abstract
We construct a cellular complex of the same homotopy type of the complement for a complex line arrangement in $\mathbb C^2$. The construction
based on the labyrinth of a line arrangement, defined by us, and on the braid monodromy presentation for its fundamental group.