Introduction to Topology Practice Questions

Unless stated otherwise, it is always assumed that

• R=denotes the real numbers, Z= the integers, Q=the rationals, N=the natural numbers;
• by abuse of notation "a topological space X" means "(X,τ_X)"
• Rⁿ has the usual topology, unless stated otherwise
• a subset of a topological space has the subspace topology,
• S¹ is the unit circle, centered at the origin, in R².

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