The Injective Hull and the -Compactification of a Continuous Poset

DOI10.4153/CJM-1985-045-3zbMath0595.06006OpenAlexW2907355841WikidataQ114021685 ScholiaQ114021685MaRDI QIDQ3726175

Rudolf-E. Hoffmann

Publication date: 1985

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1985-045-3

zbMATH Keywords

complete latticeMacNeille completioninjective hullFell compactificationcontinuous posetalgebraic latticealgebraic posetorder-embedding\({\mathcal C}{\mathcal L}\)-compactification\(T_ 0\) spacescontinuous 1,\(\wedge \)-semilattice

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Complete lattices, completions (06B23) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Topological lattices (06B30) Semilattices (06A12)

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