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user09127
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Why is a certiaincertain space of linear isometries paracompact

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user09127
  • 765
  • 3
  • 8

Why is a certiain space of linear isometries paracompact

Let $V$ be a finite dimensional real inner product space and $U$ a real inner product space of countable dimension. Why is the space of linear isometries from $V$ to $U$ paracompact?