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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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Investors took profits on Friday while they could ahead of the weekend, explained Tom Essaye, founder of Sevens Report Research. Saturday and Sunday could easily bring unfortunate news on the war front—and traders would rather be able to sell any recent winnings at Friday’s earlier prices than wait for a potentially lower price at Monday’s open. This provided opportunity to their linked entities to offload their shares at higher prices and make significant profits at the cost of unsuspecting retail investors. Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes. Telegram has gained a reputation as the “secure” communications app in the post-Soviet states, but whenever you make choices about your digital security, it’s important to start by asking yourself, “What exactly am I securing? And who am I securing it from?” These questions should inform your decisions about whether you are using the right tool or platform for your digital security needs. Telegram is certainly not the most secure messaging app on the market right now. Its security model requires users to place a great deal of trust in Telegram’s ability to protect user data. For some users, this may be good enough for now. For others, it may be wiser to move to a different platform for certain kinds of high-risk communications. Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care.
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