nLab archimedean group

Redirected from "Archimedean group".
Contents

Contents

Definition

An archimedean group is a strictly ordered group which satisfies the Archimedean property, in which every positive element is bounded above by a natural number.

So an archimedean group has no infinite elements (and thus no non-zero infinitesimal elements).

Properties

Examples

Archimedean groups include

Non-archimedean groups include

See also

Last revised on December 24, 2023 at 21:15:36. See the history of this page for a list of all contributions to it.