- #1

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but i am not feeling uncomfortable with |R^3 especially with the domains like when x =! 0 and y =! 0 why it is not simply connected?

how do I should visualize a closed curve with the domain in 3D?

- Thread starter daku420
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- #1

- 3

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but i am not feeling uncomfortable with |R^3 especially with the domains like when x =! 0 and y =! 0 why it is not simply connected?

how do I should visualize a closed curve with the domain in 3D?

- #2

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Now imagine a circle that goes around that line. The line is infinite in both directions. How can you shrink that circle to a point, while never touching the line?

This is not a proof of course, but hopefully it can guide your intuition.

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