These are Bourbaki terms. Denombrable: countable denombrable a l'infini: countable at infinity (the point at infinity of the Alexandroff compactification of a locally compact space has a countable neighborhood base) relativement compact: relatively compact (having compact closure) Johannes

G is now talking about locally compact spaces and there are two phrases I have not seen. One is "relatively compact". I assume this is the same as what I call "conditionally compact", i.e. having compact closure. The other is "denombrable". The context is "Suppose that the locally compact space $X$ is denombrable a l'infini". Does it mean first countable?

I don't want to start a discussion what bad terms these are, I just want to know what they mean.

Michael