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Topic: F^I isomorphic to finite(F^I)
Replies: 11   Last Post: Mar 8, 2013 3:45 PM

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Kaba

Posts: 289
Registered: 5/23/11
Re: F^I isomorphic to finite(F^I)
Posted: Mar 6, 2013 2:37 PM
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6.3.2013 13:30, Robin Chapman wrote:
>> 1) What is the cardinality of F^I?
>
> |F|^|I| :-)


Right:)

>> 3) What is the dimension of F^I?
>
> Let V be a vector space over the field F. If |V| is infinite and
> |V| > |F| then the dimension of V over F is |V|.


How can this be seen?

--
http://kaba.hilvi.org



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