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Part: Ordered Fields and Their Topology

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Table of Contents

Examples: 1

1. Definition: Ordered Field
2. Proposition: $0$ Is Less Than $1$ In Ordered Fields
3. Proposition: Square of a Non-Zero Element is Positive in Ordered Fields
4. Definition: Absolute Values and Non-Archimedean Absolute Values of Fields
5. Proposition: A Field with an Absolute Value is a Metric Space
6. Definition: Dependent and Independent Absolute Values
7. Proposition: Characterization of Dependent Absolute Values
8. Proposition: Characterization of Non-Archimedean Absolute Values
9. Definition: Signum Function in An Ordered Field
10. Definition: Complete Ordered Field

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