Geodesic
The transcendental rank of the formulas of an $\aleph_1$-categorical theory
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 321-329 
B. I. Zil'ber. The transcendental rank of the formulas of an $\aleph_1$-categorical theory. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 321-329. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a18/
@article{MZM_1974_15_2_a18,
     author = {B. I. Zil'ber},
     title = {The transcendental rank of the formulas of an $\aleph_1$-categorical theory},
     journal = {Matemati\v{c}eskie zametki},
     pages = {321--329},
     year = {1974},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a18/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we investigate the transcendental rank introduced by Morley. We introduce the concept of a fibering and prove a series of lemmas about fibering, on the basis of which we prove the main theorems: on an estimate for the rank of a formula (Theorem 3); on the summation of ranks (Theorem 2); and a reproof of Baldwin's theorem on the finiteness of the rank of $\aleph_1$-categorical theories (Theorem 1).