Part: Ordered Fields and Their Topology

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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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