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What is $ R^{N} $ in section 1 of chapter 1 of the book Elements of Algebraic Topology by J.R. Munkres? Is $ N $ some natural number?

Chern
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    To be honest, if you're not sure about this, you might want to try improving your fundamentals. Munkres' book states in the preface that We assume the student has some background in both general topology and algebra. – Zev Chonoles Jul 05 '15 at 22:23
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    Yes, this is very basic. You should probably master Topology by Munkres before moving on to this book. – Matt Samuel Jul 05 '15 at 22:27
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    And exactly why do you think my fundamentals are lacking? Something made me think it was $ \mathbb{R}^{\omega} $ and I just wanted to make sure I had the right thing in mind. Please don't be judgmental. – Chern Jul 05 '15 at 22:28
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    @swaqar: I thought that because you gave no indication you knew any potential meaning of $\mathbb{R}^N$, and because you didn't use $\mathbb{R}$ or $\mathbf{R}$ for the real numbers. Please try to explain your own thoughts further, and use accepted notation, when asking questions. – Zev Chonoles Jul 05 '15 at 22:38
  • People sometimes get confused due to notation. Perhaps $\mathbb{R}^n$ is much more common. – rainman Sep 13 '19 at 06:18

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Yeah $N$ is a natural number. It's just the standard $N$ dimensional real vector space.