seydunas
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Can say me why annulus and circle are not homeomorphic?
Can say me why annulus and circle are not homeomorphic?
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Hi Seydunas,
The easiest way to see this is with so called "dispersion points". Removing two points from the circle gives you two connected components, thus it becomes disconnected. But from the annulus, you can remove any two points, and the result remains connected.
This means that the circle and the annulus are not homeomorphic.
seydunas
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Owwwww, yes, i have tried to remove only one point but this did not give me any solution. Thank you micromass.