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Pytkeev space : ウィキペディア英語版 | Pytkeev space
In mathematics, and especially topology, a Pytkeev space is a topological space that satisfies qualities more subtle than a convergence of a sequence. They are named after E. G. Pytkeev, who proved in 1983 that sequential spaces have this property.〔.〕 == Definitions ==
Let ''X'' be a topological space. For a subset ''S'' of ''X'' let ''S'' denote the closure of ''S''. Then a point ''x'' is called a ''Pytkeev point'' if for every set A with , there is a countable -net of infinite subsets of ''A''. A ''Pytkeev space'' is a space in which every point is a Pytkeev point.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Pytkeev space」の詳細全文を読む
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