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Present 8 spaces/subsets. Student categorizes by topological properties: Compact/Not Compact, Connected/Not Connected. (1) [0,1] - compact, connected. (2) (0,1) - not compact (open), connected. (3) [0,1]∪[2,3] - compact, NOT connected. (4) ℝ - not compact, connected. (5) {1/n: n∈ℕ}∪{0} - compact, no

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