Geodesic
Reflexive Topological Semilattices
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 471-482

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The duality between compact 0-dimensional semilattices and discrete semilattices studied by K. H. Hofmann et al. [2] is here extended to larger categories of topological semilattices.We regard topological semilattices as objects in the category CvSl of convergence semilattices, believing CvSl to be the appropriate setting for this study. The referee objected to this at first, which prompted us to set forth more carefully our reasons for doing so, as follows. 
Hong, S. S.; Nel, L. D. Reflexive Topological Semilattices. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 471-482. doi: 10.4153/CMB-1981-070-6
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     author = {Hong, S. S. and Nel, L. D.},
     title = {Reflexive {Topological} {Semilattices}},
     journal = {Canadian mathematical bulletin},
     pages = {471--482},
     year = {1981},
     volume = {24},
     number = {4},
     doi = {10.4153/CMB-1981-070-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-070-6/}
}
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