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Peculiar behaviour of connected locales. (English) Zbl 0668.06007

The authors give a connected, locally compact locale A such that some products \(A\times B\) have separations not of the form \((A\times U,A\times (B-U)).\) They show that no such example can be compact or hereditarily Lindelöf.
Reviewer: J.Isbell

MSC:

06D99 Distributive lattices
54D05 Connected and locally connected spaces (general aspects)
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References:

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