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Step 26 of 37

Expert · maths major and graduate topics

Topology

Expert

Continuity and shape in their most general form.

Topics, in order

  1. Topological spaces and continuous maps
  2. Bases, products, and quotients
  3. Connectedness
  4. Compactness
  5. Separation axioms and metrization
  6. Fundamental group and covering spaces

Learn from

  • Munkres, Topology

Move on when

You can prove that the continuous image of a compact space is compact.