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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Little Quantum Mechanics Question
Replies: 22   Last Post: Sep 22, 2003 12:50 AM

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meron@cars3.uchicago.edu

Posts: 914
Registered: 12/6/04
Re: Little Quantum Mechanics Question
Posted: Sep 15, 2003 9:41 PM
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In article <c582c1e3.0309151643.61318bbd@posting.google.com>, khallow@hotmail.com (Karl Hallowell) writes:
>meron@cars3.uchicago.edu wrote in message news:<Gin9b.12$05.8388@news.uchicago.edu>...
>
><snip>
>
>> Interestingly, once you get to infinitely dimensional spaces, there is
>> no requirement that all the bases have to have same cardinality
>> (though, of course, they all have to be infinite).
>
>That's subject to your axiom set. In cases where the Axiom of Choice
>holds (a common situation), then all bases of a vector space have the
>same cardinality.
>
As I wrote eslewhere, I'm just being consistently sloppy:-)

Mati Meron | "When you argue with a fool,
meron@cars.uchicago.edu | chances are he is doing just the same"

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