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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'Hausdorff's maximum principle'
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(small) error by asteroid
Correction id: 12731
Filed on: 2007-07-03 19:49:08
Status: Accepted on 2007-08-14 20:07:17
Type: Addendum
Correction text:
"Given a subset $\tau$ of $S$, the union of
all the elements of $\tau$ is again an element of $S$"
This is not quite true..
The union of totally ordered subsets does not need to be a totally ordered subset, right?
But yes, $S$ is partially ordered with inclusion, and the union of all elements of a chain in $S$ is indeed a totally ordered subset.
Therefore we can apply Zorn's Lemma, etc.. |
No comment from object owner CWoo.
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