On the Covering of Analytic Loci by Complexes
B. O. Koopman, A. B. Brown · Transactions of the American Mathematical Society · 1932
April (Chapter 2, §9), the theorems in Osgood II regarding their vanishing remain valid under the present notations.* Osgood II, Chapter 2, §9, Satz 3. It is also convenient to use §3, and §5, Satz 3 and Zusatz.In the proof of Theorem 2.VIII we would use §9, Satz 1.f Perron, loc.cit., p. 227, formula (10).For Theorem 2.VIII we would use formula (21), p. 223, giving the resultant as the product of the resultants of the factors.t Perron, loc.cit., p. 275, formula (8), and p. 278, formula (15).