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Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

www.group-telegram.com/br/sweet_homotopy.com/1960

1.7K viewsMar 18 at 21:51

group-telegram.com/sweet_homotopy/1960

Create: 2024-03-18
Last Update: 2024-12-29 04:53:31

Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

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Date: 2024-12-29|

The original Telegram channel has expanded into a web of accounts for different locations, including specific pages made for individual Russian cities. There's also an English-language website, which states it is owned by the people who run the Telegram channels. A Russian Telegram channel with over 700,000 followers is spreading disinformation about Russia's invasion of Ukraine under the guise of providing "objective information" and fact-checking fake news. Its influence extends beyond the platform, with major Russian publications, government officials, and journalists citing the page's posts. Lastly, the web previews of t.me links have been given a new look, adding chat backgrounds and design elements from the fully-features Telegram Web client. The channel appears to be part of the broader information war that has developed following Russia's invasion of Ukraine. The Kremlin has paid Russian TikTok influencers to push propaganda, according to a Vice News investigation, while ProPublica found that fake Russian fact check videos had been viewed over a million times on Telegram. The company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform.
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