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This course introduces topology, covering topics fundamental to modern analysis and geometry.
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English
English [CC]
FREE
- Learn basic syntax that can apply to any language.
- Learn what is a programming language and the basic concepts for beginners.
- Understand what is Javascript in it's truest form.
- Know the basic syntax of Javascript.
- Know some hidden quirks in Javascript.
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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