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This course introduces topology, covering topics fundamental to modern analysis and geometry.

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1

English

English [CC]

FREE

Description

It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

Course content

  • Logic and Foundations Unlimited
  • Connected Spaces, Compact Spaces Unlimited
  • Well-ordered Sets, Maximum Principle Unlimited
  • Countability and Separation Axioms Unlimited
  • Urysohn Lemma, Metrization Unlimited
  • Tietze Theorem Unlimited
  • Tychonoff Theorem, Stone-Cech Compactification Unlimited
  • Imbedding in Euclidean Space Unlimited

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Instructor

Massachusetts Institute of Technology
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