Re: Surface,which is not second countable


eugene wrote:
It is well-known fact that any Riemann surface is second countable,
i.e. there is a countable base for its topology.

It arises the following question: Could you give an example of a
surface which is not second countable ?

Thanks.

In the sentence "It is well-known fact that any Riemann surface is
second countable" i meant

It is well-known fact that any CONNECTED Riemann surface is second
countable,

.

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