摘要

In this note it is proved that for a quasicontinuous lattice L, the lower topology omega(L) and the Scott topology sigma(L) are duals for each other; and if L is a complete lattice such that sigma(L) is continuous but not hypercontinuous (equivalently, L is not quasicontinuous), then omega(L) is not the dual of sigma(L) and hence they are not duals for each other.

  • 出版日期2016-2-15

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