Geodesic
Extra Countably Compact Spaces
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 473-481

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DOI

A completely regular HausdorfT space is extra countably compact if every infinite subset of βX has an accumulation point in X. It is a theorem of Comfort and Waiveris that if X either an F-space or realcompact (topologically complete), then there is a set {Pξ:ξ<2C} of extra countably compact (countably compact) subspaces of αX such that Pξ ∩ Pξ = X, for ξ<ξ'<2C. Comfort and Waiveris conjecture that in all three cases, the spaces may be chosen pairwise non-homeomorphic. We prove this conjecture, using D- limits and weak P-points. We also give a partial solution to another question asked by Comfort and Waiveris.
DOI : 10.4153/CMB-1983-076-0
Mots-clés : 54D30, 54D35, 54A25, Key words and phrases, Extra countably compact, homeomorphic, D-limits, weak P-points, countably compact 
Saks, Victor. Extra Countably Compact Spaces. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 473-481. doi: 10.4153/CMB-1983-076-0
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     title = {Extra {Countably} {Compact} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {473--481},
     year = {1983},
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     number = {4},
     doi = {10.4153/CMB-1983-076-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-076-0/}
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