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The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras $L$ by the action of a subgroup of automorphisms of $L$. For recall, a 2-skeletal space is a path connected space $S$ satisfying $H\sp{\ge 3} (S;\bbfQ) = 0$ and $\dim H\sp* (S, \bbfQ) < \infty$. The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers.
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