Blog posts from 2012
The Axiom of Choice and Self-Dual Vector Spaces
Oct 28 2012, 01:28
I have uploaded a note titled The Axiom of Choice and Self-Duality of Vector Spaces. Here is a short summary and background.
It is a well known fact (in \(\ZFC\) at least) that if \(V\) is a vector space, and \(V^\ast\) is the algebraic dual of \(V\) then \(V\cong V^{\ast\ast}\) if and only if \(\dim V<\infty\).
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Oct 19 2012, 05:46
Well... This is my first post on this blog, and I have absolutely no idea how to start it.
Should I make it about myself? about my life? about my academic status? How I about I tell cool stories from my life, perhaps inebriated adventures? army experiences? Maybe I should write about mathematics. Perhaps some nice proof or some nice theorem?
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