EDB — 2CF

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9.15 Circle[2CF]

Definition 153

[0Y3]

It is a closed set in \(ℝ^ 2\), so we can think of it as a complete metric space with the Euclidean distance \(d(x,y)=|x-y|_{ℝ^ 2}\).

Definition 154

[0Y4]

As usual, given \(t∈ℝ\), we indicate with \([t]\) the class of elements in \(ℝ/2𝜋\) equivalent to \(t\).

Exercises

  1. [0Y5]

  2. [0Y7]

  3. [0Y9]

  4. [0YB]

  5. [0YD]

  6. [0YF]

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