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13.
Oka manifolds
Forstnerič, Franc, 1958-
V članku je podan pozitiven odgovor na vprašanje Mikhaela Gromova (Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math.\ Soc. 2, 851-897 (1989), str. 881). Glavni rezultat je ...naslednji: Če ima kompleksna mnogoterost ▫$Y$▫ lastnost, da lahko vsako holomorfno preslikavo z neke kompaktne konveksne množice ▫$K$▫ v kompleksnem evklidskem prostoru ▫${\mathbb{C}}^n$▫ v ▫$Y$▫ aproksimiramo enakomerno na ▫$K$▫ s holomorfnimi preslikavami ▫${\mathbb{C}}^n$▫ v ▫$Y$▫, potem ▫$Y$▫ zadoššča parametrični lastnosti Oka z aproksimacijo ter interpolacijo.
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