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red_alert
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 Tumbleweed
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Topologies with the same convex closed sets
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Every convex sequentially closed set is closed
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Every convex sequentially closed set is closed
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 Scholar
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Sequentiality of largest vector topology
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Every convex sequentially closed set is closed
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Sequentiality of largest vector topology
I proved that it's true. Thank you!
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Sequentiality of largest vector topology
@SergeiAkbarov The theorem claims that the finite topology of uncountable vector space is not a vector topology.
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Sequentiality of largest vector topology
@SergeiAkbarov The topology is called vector if operations of addition and multiplication are continious.
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Sequentiality of largest vector topology
@AlexDegtyarev Largest vector topology on a vector space is a supremum of set of all vector topologies on it.
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Sequentiality of largest vector topology
Largest vector topology definition
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Sequentiality of largest vector topology
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Sequentiality of largest vector topology