Geodesic
Universal Compact T1 -Spaces
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 261-266

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DOI

For every infinite cardinal k we construct a space Ck universal for all compact T1 -spaces of weight ≤ k. It follows, in particular, that there are only 2k topologically different compact T1 -spaces. We show that Cw is universal for all second countable developable T1 -spaces. The existence of closely universal compact T1 -spaces is discussed.
DOI : 10.4153/CMB-1992-037-1
Mots-clés : 54C25, 54D10, 54D30, 54B10, Universal, closely universal, compact T1-space, supercompact, developable, k-perfect 
Mysior, Adam. Universal Compact T1 -Spaces. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 261-266. doi: 10.4153/CMB-1992-037-1
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     author = {Mysior, Adam},
     title = {Universal {Compact} {T1} {-Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {261--266},
     year = {1992},
     volume = {35},
     number = {2},
     doi = {10.4153/CMB-1992-037-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-037-1/}
}
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