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

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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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