Citations: On Thurston's uniformizationtheorem for three-dimensional manifolds - Morgan (ResearchIndex)
Morgan, On Thurston's uniformizationtheorem for three-dimensional manifolds, in : J.Morgan, H.Bass, The Smith Conjecture, A.P., 1984, 37-126.
Theorem 1.1 of  states, among other things, that if is any proper 1 manifold in a compact, connected 3 manifold Y such that meets every 2 sphere in Y at least twice and every projective plane in Y at least once, then is....
The existence of a resolving system (the local uniformizationtheorem) was proved for arbitrary varieties over a field of characteristic zero (see ), and also for two-dimensional varieties over any field and three-dimensional varieties over an algebraically closed field of characteristic other than 2, 3 or 5 (see ).
In the general case the local uniformizationtheorem implies the existence of a finite resolving system (see ).
For (local) uniformization in analytic geometry and in the theory of functions of a complex variable (Riemann surfaces) cf.
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