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- Thread starter CSteiner
- Start date

- #1

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- #2

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How do you suggest such a chart is constructed?but I don't understand why not.

- #3

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- #4

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But it is not a mapping from an open subset of R^2.

- #5

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Why not? Sorry if this seems like a stupid question, but I'm only just now learning (and trying to understand) the definitions of these things. Open means that it belongs the standard topology on R2, right? Why doesn't it?But it is not a mapping from an open subset of R^2.

- #6

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Because it is not a union of balls. This is the very definition of the standard topology.

- #7

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Do you know the concept of "connected"?

- #8

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Not rigorously.Do you know the concept of "connected"?

- #9

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You should learn about that then. Learn about "cut points" too. With that you can prove your OP.

- #10

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Will do, thanks for pointing me in the right direction.You should learn about that then. Learn about "cut points" too. With that you can prove your OP.