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Для чего эта надрывная музыка сфер?

Эти результаты обобщаются: зафиксируем класс {Ai} односвязных пространств конечного типа, и определим

W := букеты пространств вида
Σ(ΩAi1 л ΩAi2 л ... л ΩAik),

P+ := произведения пространств вида
ΩAi1 л ΩAi2 л ... л ΩAik и
ΩΣ(ΩAi1 л ΩAi2 л ... л ΩAik),

P- := произведения пространств вида
ΩΣ(ΩAi1 л ΩAi2 л ... л ΩAik).

Тогда аналогично доказываются:
Утв. 1'. Если X ∈ W, то ΩX ∈ P-.
Утв. 2'. Если Y ∈ P+, то ΣY ∈ W.
Утв. 5'. Если ΩY ∈ P+, то на каждом сомножителе ΩAi1 л ΩAi2 л ... л ΩAik, входящем в разложение ΩY, можно ввести структуру H-пространства.
Утв. 6'. Пусть W замкнут относительно ретрактов. Тогда: если ΩΣX ∈ P+, то ΩΣX ∈ P-.



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Для чего эта надрывная музыка сфер?

Эти результаты обобщаются: зафиксируем класс {Ai} односвязных пространств конечного типа, и определим

W := букеты пространств вида
Σ(ΩAi1 л ΩAi2 л ... л ΩAik),

P+ := произведения пространств вида
ΩAi1 л ΩAi2 л ... л ΩAik и
ΩΣ(ΩAi1 л ΩAi2 л ... л ΩAik),

P- := произведения пространств вида
ΩΣ(ΩAi1 л ΩAi2 л ... л ΩAik).

Тогда аналогично доказываются:
Утв. 1'. Если X ∈ W, то ΩX ∈ P-.
Утв. 2'. Если Y ∈ P+, то ΣY ∈ W.
Утв. 5'. Если ΩY ∈ P+, то на каждом сомножителе ΩAi1 л ΩAi2 л ... л ΩAik, входящем в разложение ΩY, можно ввести структуру H-пространства.
Утв. 6'. Пусть W замкнут относительно ретрактов. Тогда: если ΩΣX ∈ P+, то ΩΣX ∈ P-.

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The perpetrators use various names to carry out the investment scams. They may also impersonate or clone licensed capital market intermediaries by using the names, logos, credentials, websites and other details of the legitimate entities to promote the illegal schemes. 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. Right now the digital security needs of Russians and Ukrainians are very different, and they lead to very different caveats about how to mitigate the risks associated with using Telegram. For Ukrainians in Ukraine, whose physical safety is at risk because they are in a war zone, digital security is probably not their highest priority. They may value access to news and communication with their loved ones over making sure that all of their communications are encrypted in such a manner that they are indecipherable to Telegram, its employees, or governments with court orders. Messages are not fully encrypted by default. That means the company could, in theory, access the content of the messages, or be forced to hand over the data at the request of a government. Oh no. There’s a certain degree of myth-making around what exactly went on, so take everything that follows lightly. Telegram was originally launched as a side project by the Durov brothers, with Nikolai handling the coding and Pavel as CEO, while both were at VK.
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