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Mathematics

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Algebra

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Algebra - Subfields

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Abstract Algebra - Modern Algebra - Structural Algebra

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Mathematical Spaces

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Mathematical Spaces - Other

Mathematical Space (Open Sets - Closed Sets - Clopen Sets)

Created on Jun 24, 2023 · Last Modified on Jun 26, 2023

Open Set

  • is a generalization of an open interval in the real line
  • an open set is identical to its interior

Closed Set

  • is a generalization of a closed interval in the real line
  • a closed set contains all its limit points

Clopen Set

  • a clopen set is both open and closed

Definitions

  • Topological Spaces (Open Sets - Closed Sets - Clopen Sets - Closures)
  • Totally Boundedness)