Infinitesimals in ordered vector spaces
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 18-22

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An infinitesimal approach to ordered spaces is proposed. Archimedean property and Dedekind completeness in ordered spaces are discussed from a nonstandard point of view.
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     title = {Infinitesimals in ordered vector spaces},
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E. Yu. Emel'yanov. Infinitesimals in ordered vector spaces. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 18-22. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a2/