3) Consider the topology 7 = {G CR: 0 ¢ G or G = R} on R. Is open T 3= interval (-1,1) compact in (R, 7)? Explain why.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 94E
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3)
Consider the topology T = {G CR: 0 ¢ G or G = R} on R. Is open
interval (-1,1) compact in (R, 7)? Explain why.
Transcribed Image Text:3) Consider the topology T = {G CR: 0 ¢ G or G = R} on R. Is open interval (-1,1) compact in (R, 7)? Explain why.
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