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- W2906688660 abstract "The purpose of this paper is to determine the conditions under which the maximal ideals of the ring C * ( X )—the bounded real-valued continuous functions on a completely regular Hausdorff space X —are closed under pointwise convergence of sequences. Whereas the maximal ideals of C * (X) are closed under pointwise convergence of nets if and only if X is compact, it is shown that a necessary and sufficient condition for their pointwise sequential closure is that X be pseudocompact (i.e. that all real-valued continuous functions of X be bounded)." @default.
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- W2906688660 date "1973-03-01" @default.
- W2906688660 modified "2023-09-28" @default.
- W2906688660 title "Pointwise Sequentially Closed Ideals in C*(X)" @default.
- W2906688660 doi "https://doi.org/10.4153/cmb-1973-022-5" @default.
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