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Another Face of the Archimedean Property

Robert Kantrowitz and Michael Neumann
The College Mathematics Journal
Vol. 46, No. 2 (March 2015), pp. 139-141
DOI: 10.4169/college.math.j.46.2.139
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.46.2.139
Page Count: 3
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Another Face of the Archimedean Property
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Abstract

We show that the Archimedean property for an abstract ordered field is equivalent to several convergence conditions from calculus, most notably the validity of the geometric series test.

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