Completeness and absolute $H$-closedness of topological semilattices

Abstract

We find (completeness type) conditions on topological semilattices $X,Y$ guaranteeing that each continuous homomorphism $h:X\to Y$ has closed image $h(X)$ in $Y$.

12 pages

References in corpus (6)

• On a complete topological inverse polycyclic monoid
• On H-closed paratopological groups
• Characterizing chain-compact and chain-finite topological semilattices
• On linearly ordered $H$-closed topological semilattices
• Categorically closed topological groups
• $H$-closed quasitopological groups

Cited by in corpus (7)

• Categorically closed topological groups
• The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices
• Complete topologized posets and semilattices
• Characterizing categorically closed commutative semigroups
• On images of complete topologized subsemilattices in sequential semitopological semilattices
• The interplay between weak topologies on topological semilattices
• The Lawson number of a semitopological semilattice