MHB Problem of the Week #109 - June 30th, 2014

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Chris L T521
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Here's this week's problem!

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Problem: Determine whether or not every locally compact Hausdorff space is paracompact.

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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
 
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No one answered this week's problem.

I don't have a complete solution prepared due to various things, so I will do my best to fill in the details sometime soon.

[sp]It turns out that not every locally compact Hausdorff space is paracompact. An interesting counterexample is the Tychonoff plank, which I will elaborate on soon.[/sp]
 

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