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DOI: 10.23671/VNC.2013.1.10504

Infinitesimals in ordered vector spaces

Emel'yanov E. Yu.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.
An infinitesimal approach to ordered spaces is proposed. Archimedean property and Dedekind completeness in ordered spaces are discussed from a nonstandard point of view.
Keywords: ordered vector space, nonstandard analysis
Language: English Download the full text  
For citation: Emel'yanov E. Yu. Infinitesimals in ordered vector spaces // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 1, pp. 18-22. DOI 10.23671/VNC.2013.1.10504

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