
Re: F^I isomorphic to finite(F^I)
Posted:
Mar 6, 2013 3:36 PM


On Wed, 06 Mar 2013 21:34:23 +0200, Kaba <kaba@nowhere.com> wrote:
>6.3.2013 1:47, Shmuel (Seymour J.) Metz wrote: >> In <kh5tht$csg$1@news.cc.tut.fi>, on 03/06/2013 >> at 01:03 AM, Kaba <kaba@nowhere.com> said: >> >>> 2) What could be a basis for F^I? >> >>Google for "Hamel Basis". > >Sure, a Hamel basis, but is it possible to give some intuitive >construction for the Hamel basis of F^I?:)
No. If I is infinite there _is_ no "construction" of a basis, a basis exists by the Axiom of Choice (Zorn's Lemma gives a maximal independent set).

