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Let be an infinite-dimensional complex Banach space and a closed analytic subset with finite codimension. We give a condition on which implies that is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.
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