Are there complete fields of positive characteristic with non-trivial absolute value? What does calculus on them looks like? I'm aware that they have to be non-archimedean, and that the bulk of results about power series convergence will carry over, but surely there have to be some extremely weird results e.g. local expansions will be ambiguous.
Calculus on complete fields of positive characteristic
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abstract-algebra
analysis
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0@JyrkiLahtonen You mean $k[[X]]$ with the usual non-archimedean absolute value? Where can I read about calculus on this thing? – 2012-05-22