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arXiv · 0804.1438

On linearly ordered $H$-closed topological semilattices

Oleg Gutik·Dušan Repovš
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Abstract

We give a criterium when a linearly ordered topological semilattice is $H$-closed. We also prove that any linearly ordered $H$-closed topological semilattice is absolutely $H$-closed and we show that every linearly ordered semilattice is a dense subsemilattice of an $H$-closed topological semilattice.

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Oleg Gutik, Dušan Repovš. 2008-04-09. On linearly ordered $H$-closed topological semilattices. https://doi.org/10.1007/s00233-008-9102-4

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