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Mathematician Alexey Savvateev on the Poincaré-Perelman theorem, Leonard Euler and topology Read the transcript at the link: https://postnauka.ru/video/154834 Alexey Savvateev's blog: / matkult-privet Alexey Savvateev (https://postnauka.ru/author/savvateev) - Doctor of Physical and Mathematical Sciences at Dmitry Pozharsky University The Poincaré conjecture, and now the Poincaré-Perelman theorem, is a fundamental observation in topology. From a human point of view, it describes the world we live in. But what do we know about our world? Firstly, it is three-dimensional, which means that from any fixed point we can draw three axes that will be perpendicular to each other in pairs, and the fourth axis can no longer be drawn. The fourth axis goes into new dimensions, so it is not visible. Secondly, in the area of any point where you are, the world is arranged the same, and the view from each point is similar to the view from another. Locally, it is arranged like the inside of a football. In scientific terms, our world is a smooth three-dimensional manifold 5 mathematical problems: https://postnauka.ru/lists/95420 Topology as the geometry of the 20th century: https://postnauka.ru/faq/14255 Support PostNauka — https://postnauka.ru/donate/ See more lectures, interviews and articles about fundamental science and the scientists who create it on the website http://postnauka.ru/. PostNauka — everything you wanted to know about science, but didn’t know who to ask. Follow us on social networks: VK: https://vk.com/postnauka FB: / postnauka Twitter: / postnauka Odnoklassniki: https://ok.ru/postnauka Telegram: https://t.me/postnauka