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#картинка

такие классы симплициальных комплексов возникают вокруг теории комплексов Голода. Стрелки = вложения (все — слева направо). В пунктирных стрелках не уверен

Некоторые из этих классов имеют "самодостаточный смысл" (то есть возникают в комбинаторной коммутативной алгебре); некоторые, скорее всего, не имеют. Некоторые классы вообще "морально устарели", скорее всего (были доказаны более мощные теоремы, и потребность в них отпала). Картинку делал для себя, в ней могут быть ошибки



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#картинка

такие классы симплициальных комплексов возникают вокруг теории комплексов Голода. Стрелки = вложения (все — слева направо). В пунктирных стрелках не уверен

Некоторые из этих классов имеют "самодостаточный смысл" (то есть возникают в комбинаторной коммутативной алгебре); некоторые, скорее всего, не имеют. Некоторые классы вообще "морально устарели", скорее всего (были доказаны более мощные теоремы, и потребность в них отпала). Картинку делал для себя, в ней могут быть ошибки

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Just days after Russia invaded Ukraine, Durov wrote that Telegram was "increasingly becoming a source of unverified information," and he worried about the app being used to "incite ethnic hatred." Groups are also not fully encrypted, end-to-end. This includes private groups. Private groups cannot be seen by other Telegram users, but Telegram itself can see the groups and all of the communications that you have in them. All of the same risks and warnings about channels can be applied to groups. The fake Zelenskiy account reached 20,000 followers on Telegram before it was shut down, a remedial action that experts say is all too rare. The Security Service of Ukraine said in a tweet that it was able to effectively target Russian convoys near Kyiv because of messages sent to an official Telegram bot account called "STOP Russian War." Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores.
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