Learning Path — Point-Set Topology
Suggested preparation for Point-Set Topology. Choose an entry point that fits your preparation.
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Entry / bridge route · Additional preparation for research reading · All paths
Entry / bridge route
Proofs & Mathematical Writing
Read quantified statements; write direct, contrapositive, contradiction and induction arguments.
Book of Proof — Richard Hammack. Direct open PDF
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You can explain the quantifiers in a statement and write these forms of proof without relying on a worked solution.
Point-Set Topology
Understand open sets, continuity, products, quotients and compactness.
Topology Without Tears — Sidney A. Morris. Direct open PDF
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You can prove statements using these definitions and produce basic separation or compactness counterexamples.
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