Abstract
We reconsider the debated question of the collapse transition of two-dimensional polymers. The solvable model of self-avoiding walks in presence of percolating vacancies (i.e., at the so-called \ensuremath{\Theta}' point) is shown to be stable against the introduction of further interactions, anisotropy, and change of lattice. This confirms the conjecture of the identity of the \ensuremath{\Theta}' point with the genuine tricritical \ensuremath{\Theta} point and rules out a higher multicriticality.
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