Geodesic
Continuous Images of Compact Semilattices
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 109-113

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

Hyadic spaces are the continuous images of a hyperspace of a compact space. We prove that every non-isolated point in a hyadic space is the endpoint of some infinite cardinal subspace. We isolate a more general order-theoretic property of hyerspaces of compact spaces which is also enjoyed by compact semilattices from which the theorem follows.
DOI : 10.4153/CMB-1987-016-4
Mots-clés : Primary 54B20, Secondary 54C05, Hyadic, Compact Semilattices, Cardinal Subspaces 
Bell, Murray; Pelant, Jan. Continuous Images of Compact Semilattices. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 109-113. doi: 10.4153/CMB-1987-016-4
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[1] 1. Aumann, G., Uber Räume mit Mittelbildungen, Math. Ann. 119, 1943, 210–215. Google Scholar

[2] 2. van Douwen, E., Mappings from hyperspaces and convergent sequences, manuscript. Google Scholar

[3] 3. Gierz, G., Hofmann, K., Kiemal, K., Lawson, J., Mislove, M. and Scott, D., A Compendium of Continuous Lattices, Springer-Verlag, 1980. Google Scholar

[4] 4. Hofmann, K., Mislove, M. and Stralka, A., The Pontryagin Duality of Compact O-Dimensional Semi lattices and its Applications, Lecture Notes in Mathematics No. 396, Springer-Verlag 1974. Google Scholar

[5] 5. Lawson, J., Lattices with no interval homomorphisms, Pac. J. Math. 32 (1970) 459–465. Google Scholar

[6] 6. van Mill, J., Supercompactness and Wallman Spaces, Mathematical Centre Tracts 85, Amsterdam 1977. Google Scholar

[7] 7. Ostazewski, A., On countable compact, perfectly normal spaces, J. London Math. Soc. (2) 14, 1976, 506–516. Google Scholar

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