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Gelfand-Naimark-Stone duality for normal spaces and insertion theorems (Q776383)

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Gelfand-Naimark-Stone duality for normal spaces and insertion theorems
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    Gelfand-Naimark-Stone duality for normal spaces and insertion theorems (English)
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    8 July 2020
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    In the paper [Topology Appl. 274, Article ID 107123, 26 p. (2020; Zbl 1435.54007)], the present authors extended Gelfand-Naimark-Stone duality to completely regular spaces. In the present paper, the authors use this extension to characterize normal, Lindelöf and locally compact Hausdorff spaces.
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    normal space
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    Lindelöf space
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    locally compact space
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    continuous real-valued function
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    upper and lower semicontinuous functions
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    \(\ell\)-algebra
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