Geodesic
Hausdorff Fréchet closure spaces with maximum topological defect
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 641-665

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Zbl MR
It is well-known that the topological defect of every Fréchet closure space is less than or equal to the first uncountable ordinal number $\omega_{1}$. In the case of Hausdorff Fréchet closure spaces we obtain some general conditions sufficient so that the topological defect is exactly $\omega_{1}$. Some classical and recent results are deduced from our criterion. 
Ghiloni, Riccardo. Hausdorff Fréchet closure spaces with maximum topological defect. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 641-665. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a4/
@article{BUMI_2002_8_5B_3_a4,
     author = {Ghiloni, Riccardo},
     title = {Hausdorff {Fr\'echet} closure spaces with maximum topological defect},
     journal = {Bollettino della Unione matematica italiana},
     pages = {641--665},
     year = {2002},
     volume = {Ser. 8, 5B},
     number = {3},
     zbl = {1098.54510},
     mrnumber = {MR1934372},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a4/}
}
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