The property of the set of the real numbers generated by a Gelfond-Schneider operator and the countability of all real numbers

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dc.creatorVlahovic, Slavica
dc.creatorVlahovic, Branislav
dc.date2008-03-21
dc.date.accessioned2026-07-07T09:27:52Z
dc.date.available2026-07-07T09:27:52Z
dc.descriptionConsidered will be properties of the set of real numbers $\Re$ generated by an operator that has form of an exponential function of Gelfond-Schneider type with rational arguments. It will be shown that such created set has cardinal number equal to ${\aleph_0}^{\aleph_0}=c$. It will be also shown that the same set is countable. The implication of this contradiction to the countability of the set of real numbers will be discussed.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0803.3119
dc.identifierhttp://arxiv.org/abs/0803.3119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157254
dc.subjectGeneral Mathematics
dc.subject11B05
dc.titleThe property of the set of the real numbers generated by a Gelfond-Schneider operator and the countability of all real numbers
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