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Preprint Number 394
394. Immanuel Halupczok
Submission date: 27 September 2011.
We define an analogue of Whitney
stratifications for Henselian valued fields K of equi-characteristic 0
and prove that such stratifications exist. This analogue is a pretty
strong notion; in particular, it sees singularities both at the level
of the valued field and of the residue field. Using methods from
non-standard analysis, we show how a stratification in our sense can
be turned into a classical Whitney stratification of a given
(semi-)algebraic subset of R^n or C^n.
Mathematics Subject Classification: 12J25, 03C60, 03H05, 14B05, 14B20, 32S60
Keywords and phrases:
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