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Is there a difference between "ideal boundary" as in Kerekjarto's theorem and "ends" as in the usual topological sense? All I can see is that the former is applicable to bordered surfaces as well as open ones, whereas the latter is only applicable to open, non-compact surfaces. Though I may be very wrong...

Thanks.

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    Which theorem of Kerékjártó? I think he may have proven more than just one theorem in his life. It'd be great if you can either summarise the theorem or give a link to a standard reference on it.2011-08-20

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