Geodesic
Hausdorff Fréchet closure spaces with maximum topological defect
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 641-665 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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. 
@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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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/