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Saturated set : ウィキペディア英語版
Saturated set
In mathematics, in particular in topology, a subset of a topological space (''X'', ''τ'') is saturated if it is an intersection of open subsets of ''X''. In a T1 space every set is saturated.
Saturated sets can also be defined in terms of surjections: let be a surjection; a subset ''C'' of ''X'' is called saturated with respect to ''p'' if for every ''p''−1(''A'') that intersects ''C'', ''p''−1(''A'') is contained in ''C''. This is equivalent to the statement that ''p''−1''p''(''C'')''=''C''.
== References ==

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