The Clowder Project

8.2 Examples of Relations

• Subsection 8.2.1: Elementary Examples of Relations
  • Example 8.2.1.1.1: The Trivial Relation
  • Example 8.2.1.1.2: The Cotrivial Relation
  • Example 8.2.1.1.3: The Characteristic Relation of a Set
  • Example 8.2.1.1.4: The Antidiagonal Relation on a Set
  • Example 8.2.1.1.5: Partial Functions
  • Example 8.2.1.1.6: Square Roots
  • Example 8.2.1.1.7: Complex Logarithms
  • Example 8.2.1.1.8: More Examples of Relations
• Subsection 8.2.2: The Graph of a Function
  • Definition 8.2.2.1.1: The Graph of a Function
  • Proposition 8.2.2.1.2: Properties of Graphs of Functions
• Subsection 8.2.3: The Inverse of a Function
  • Definition 8.2.3.1.1: The Inverse of a Function
  • Proposition 8.2.3.1.2: Properties of Inverses of Functions
• Subsection 8.2.4: Representable Relations
  • Definition 8.2.4.1.1: Representable Relations