Local homological properties of analytic sets
D Burghelea, A Verona - manuscripta mathematica, 1972 - Springer
D Burghelea, A Verona
manuscripta mathematica, 1972•SpringerUsing 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, Xx), for X a real or complex analytic space, as
well as some extensions and generalisations are given.
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, Xx), for X a real or complex analytic space, as
well as some extensions and generalisations are given.
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.
Springer
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