Why the figure of eight is not a manifold?(adsbygoogle = window.adsbygoogle || []).push({});

I have read somewhere that if we remove the crossing point than the the figure of eight becomes disconnected, but by removing one point in [itex]\mathbb{R}^2[/itex] it's still connected.

Is there any other proof without removing the crossing point?

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# Why the figure of eight is not a manifold?

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