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Can you find a subcover for α for (0,2)?

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1. Let α:={...}. Is this an open cover for (0,2)? Can you find a subcover for αfor (0,2)?

2. Find an open cover for (0,2) which consists of open balls of the form B1(z) with radius 1, which does not contain any finite subcover.

Please see attached file for full problem description.

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This solution is comprised of a detailed explanation of the open cover. It contains step-by-step explanation that finds a subcover for the given function.

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Real Analysis
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Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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