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Просмотр материалаАвтор (Фамилия, Имя, Отчество): | Karimov, U.H. | Заглавие: | On unions and intersections of simply connected planar sets | Название издания: | Monatshefte fur Mathematik | Год: | 2005 | Номер издания: | 145 | Ключевые слова: | simply connected planar sets,
planar continua,
helly-type theorem,
molnar’s theorem,
seifert-van Kampen theorem | Аннотация: | We construct several simple examples of planar compacta which show that without additional conditions, a theorem of Breen and a direct generalization of the Seifert-van Kampen theorem fail. We give answers to two conjectures of Bogatyi and a partial solution to his third conjecture. We give a counterexample to a statement in the classical survey paper by Danzer–Grunbaum–Klee, related to Molnar’s result on intersections of simply connected planar sets. | Держатель: | | Язык: | Английский | | | Коллекция: | Статьи |
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