The real line \(\mathbb {R}\) is one of the main objects in mathematical analysis. This object can be introduced axiomatically, as a Dedekind complete linearly ordered field.

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Some Properties of the Continuum

  • Alexander Kharazishvili

摘要

The real line \(\mathbb {R}\) is one of the main objects in mathematical analysis. This object can be introduced axiomatically, as a Dedekind complete linearly ordered field.