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Local homological properties of analytic sets

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Abstract

Using Milnor's fibration theorem [5] for analytic hypersurfaces and the “conic structure lemma”, one gets informations on local homological properties of analytic spaces, as also on the topological behaviour of algebraic sets at ∞. A simple proof of D. Sullivan's theorem about the Euler-Poincaré characteristic of (X, X-x), for X a real or complex analytic space, as well as some extensions and generalisations are given.

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Burghelea, D., Verona, A. Local homological properties of analytic sets. Manuscripta Math 7, 55–66 (1972). https://doi.org/10.1007/BF01303536

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