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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Binz, E., Continuous convergence on C(X), Springer Lecture Notes in Math. Vol. 469 (1975). Google Scholar

[2] 2. Hofmann, K. H., Mislove, M. and Stralka, A., The Pontryagin duality of compact O-dimensional semilattices and its applications, Springer Lecture Notes in Math. Vol. 396 (1974). Google Scholar

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[4] 4. Kuratowski, K., Topology, Volumes I and II, Academic Press, New York, 1966 and 1968. Google Scholar

[5] 5. Nel, L. D., Convenient topological algebra and reflexive objects, Categorical Topology, Proc. Conf. Berlin 1978, Springer Lecture Notes in Math. Vol. 719 (1979), 259-276. Google Scholar

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