Упражнение: докажите, что любую поверхность (компактную связную без края) можно получить из сферы последовательностью раздутий и сдутий.
«Топологическая гипотеза Нэша», доказанная Г.Михалкиным: аналогичное утверждение верно в любой размерности — любое вещественное многообразие (гладкое компактное связное без края) можно превратить в любое другое последовательностью раздутий и сдутий вдоль подмногообразий.
Упражнение: докажите, что любую поверхность (компактную связную без края) можно получить из сферы последовательностью раздутий и сдутий.
«Топологическая гипотеза Нэша», доказанная Г.Михалкиным: аналогичное утверждение верно в любой размерности — любое вещественное многообразие (гладкое компактное связное без края) можно превратить в любое другое последовательностью раздутий и сдутий вдоль подмногообразий.
// via ppetya
BY Непрерывное математическое образование
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Following this, Sebi, in an order passed in January 2022, established that the administrators of a Telegram channel having a large subscriber base enticed the subscribers to act upon recommendations that were circulated by those administrators on the channel, leading to significant price and volume impact in various scrips. Either way, Durov says that he withdrew his resignation but that he was ousted from his company anyway. Subsequently, control of the company was reportedly handed to oligarchs Alisher Usmanov and Igor Sechin, both allegedly close associates of Russian leader Vladimir Putin. During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. Multiple pro-Kremlin media figures circulated the post's false claims, including prominent Russian journalist Vladimir Soloviev and the state-controlled Russian outlet RT, according to the DFR Lab's report. Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours.
from cn