Basic Structures

• Abstract base class for Sage objects
• Base class for objects of a category
• Base class for parent objects with generators
• Formal sums
• Factorizations
• Elements
  • The Abstract Element Class Hierarchy
  • How to Define a New Element Class
• Unique Representation
• Dynamic classes
• Elements, Array and Lists With Clone Protocol
• Mutability Cython Implementation
• Sequences
• Wrapping Sage or Python objects as Sage elements
• Cartesian products
• Families
• Sets
• Disjoint-set data structure
• Disjoint union of enumerated sets
• Finite Enumerated Sets
• Maps between finite sets
• Data structures for maps between finite sets
• Integer Range
• Positive Integers
• Non Negative Integers
• The set of prime numbers
• Base class for parent objects