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.
@article{VMJ_2013_15_1_a2,
author = {E. Yu. Emel'yanov},
title = {Infinitesimals in ordered vector spaces},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {18--22},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a2/}
}
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/