In my introduction to manifolds the following is stated:(adsbygoogle = window.adsbygoogle || []).push({});

Polar coordinates (r, phi) cover the coordinate neighborhood (r > 0, 0 < phi < 2pi); one

needs at least two such coordinate neighborhoods to cover R2.

I do not understand why two are needed. Any point in R2 can be described by polar coordinates.

Any idea anyone?

Thanks

Bas

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# A Polar coordinate neighbourhoods in manifolds

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