Sur les espaces annelés avec groupe d'opérateurs
We determine conditions in order that a differentiable function be approximable from above by analytic functions, being left invariate on a fixed analytic subset which is a locally complete intersection.
It is shown that every connected global Nash subvariety of is Nash isomorphic to a connected component of an algebraic variety that, in the compact case, can be chosen with only two connected components arbitrarily near each other. Some examples which state the limits of the given results and of the used tools are provided.
We extend the notion of transversality to complexes of Fréchet modules and we give a Künneth formula for these complexes. Then, using this formula, we study the cohomology of transversal coherent analytic sheaves.
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