Abstract
In terms of General Topology, we consider ordered additive groups having the order topology, including ordered fields. Namely, we investigate metrizability of these groups or fields, and topological properties of ordered fields in terms of Archimedes' axiom or the axiom of continuity. Also, we give a negative answer to a question in [9]. Finally, we revise the proof of [2, Theorem 2.6], and give some related results.
Citation
Chuan Liu. Yoshio Tanaka. "Metrizability of ordered additive groups." Tsukuba J. Math. 35 (2) 169 - 183, December 2011. https://doi.org/10.21099/tkbjm/1331658702
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