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

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DOI

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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     title = {Continuous {Images} of {Compact} {Semilattices}},
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     year = {1987},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-016-4/}
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