On linearly ordered $H$-closed topological semilattices

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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• Characterizing categorically closed commutative semigroups
• The interplay between weak topologies on topological semilattices
• On images of complete topologized subsemilattices in sequential semitopological semilattices
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