The Self-Similarity of the Josephus Problem and its Variants
Masakazu Naito, Sohtaro Doro, Daisuke Minematsu, Ryohei Miyadera (2009)
Visual Mathematics
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Masakazu Naito, Sohtaro Doro, Daisuke Minematsu, Ryohei Miyadera (2009)
Visual Mathematics
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Anderson, Douglas R., Hoffacker, Joan (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marko Švec (1983)
Annales Polonici Mathematici
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R. U. Verma (1971)
Annales Polonici Mathematici
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Gary Gruenhage (1993)
Fundamenta Mathematicae
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Under the assumption that the real line cannot be covered by -many nowhere dense sets, it is shown that (a) no Čech-complete space can be partitioned into -many closed nowhere dense sets; (b) no Hausdorff continuum can be partitioned into -many closed sets; and (c) no compact Hausdorff space can be partitioned into -many closed -sets.
Davidson, Fordyce A., Rynne, Bryan P. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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J. Jayne, I. Namioka, C. Rogers (1993)
Fundamenta Mathematicae
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Recent work has studied the fragmentability and σ-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and σ-fragmentability properties of the spaces and , with Γ uncountable, are determined.
Shi, H. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Igudesman, K. (2003)
Lobachevskii Journal of Mathematics
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Aamri, M., El Moutawakil, D. (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Razani, A., Nezhad, Z.Mazlumi, Boujary, M. (2009)
APPS. Applied Sciences
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