Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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

share|improve this question
1  
Some such examples were discussed in comments to this question. –  Martin Sleziak May 13 '12 at 14:29
add comment

2 Answers

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 $X,Y$.

share|improve this answer
add comment

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..

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.