4-Manifold topology I: Subexponential groups

  title={4-Manifold topology I: Subexponential groups},
  author={M. Freedman and P. Teichner},
  journal={Inventiones mathematicae},
The technical lemma underlying the 5-dimensional topologicals-cobordism conjecture and the 4-dimensional topological surgery conjecture is a purely smooth category statement about locating π1-null immersions of disks. These conjectures are theorems precisely for those fundamental groups (“good groups”) where the π1-null disk lemma (NDL) holds. We expand the class of known good groups to all groups of subexponential growth and those that can be formed from these by a finite number of application… Expand

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