What is the Alexandrov compactification of the following set and give the geometric interpretation of it:(adsbygoogle = window.adsbygoogle || []).push({});

[(x,y): x^2-y^2>=1, x>0] that is, the right part of the hyperbola along with the point in it.

This is a question from my todays exam in topology. I wrote that the given set is homeomorphic to the set [0,1)x[0,1) the alexandrov compactification of which is [0,1]x[0,1].

However I'm not sure at all. Is this correct?

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# Geometric interpretation of a given Alexandrov compactification

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