Example of Baire Space

Question

Can anybody supply an example of a Baire Space, that is neither locally compact nor metrizable. I would be gratefull also for some references.

Some such examples were discussed in comments to this question. — Martin Sleziak, May 13 '12 at 14:29

score 2 · Answer 1 · answered May 13 '12 at 14:12

2

As a trivial example, let $X,Y$ be Baire spaces with $X$ not locally compact and $Y$ not metrizable, and consider the disjoint union of $X,Y$.

answered May 13 '12 at 14:12

Nate Eldredge

score 2 · Answer 2 · answered May 13 '12 at 14:26

2

The Sorgenfrey line is one example. It is not locally compact nor is it metrizable. Here is a paper showing that it is a Baire space..

answered May 13 '12 at 14:26

David Mitra

2 Answers2