Recent content by jangoc44
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Compactness of A in R2 with Standard Topology: Tychonoff's Theorem Applied
Sorry I meant ([0,1]x{0}) U ({1/n}x[0,1]).- jangoc44
- Post #3
- Forum: Calculus and Beyond Homework Help
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J
Compactness of A in R2 with Standard Topology: Tychonoff's Theorem Applied
1. The question is to show whether A is compact in R2 with the standard topology. A = [0,1]x{0} U {1/n, n\in Z+} x [0,1] 3. If I group the [0,1] together, I get [0,1] x {0,1/n, n \in Z+ }, and [0,1] is compact in R because of Heine Borel and {0}U{1/n} is compact since you can show that every...- jangoc44
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- Compact Sets Topology
- Replies: 4
- Forum: Calculus and Beyond Homework Help