Abstract

This paper concerns examples of complete lattices L for which binary meet, or join, from L × L to L, is discontinuous with respect to the Scott topology on L and the product topology on L × L. One example, L1, is a topology (not, of course, quasi-locally compact) with both meet and join discontinuous. Another, simpler example, L0, is a sober space in its Scott topology, with join discontinuous (and meet not even separately continuous). I do not know whether L1 is sober.

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