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Re: Basic question on co- and contra-variance
I agree that it can be stated in terms of duality but the terms covariant/contravariant are due to the coordinate transformations and are essentially geometric, more than algebric. Of course, the product isn't "inner" if you consider it as between V and V*, it only becomes inner if you consider V as being self-dual.
I think Sanctus was concerned less with the math than with finding something beyond it.
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Inutil insegnà al mus, si piart timp, in plui si infastidìs la bestie.
Hypography Forum PITA...... er, Administrator. 
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