Geodesic
On the topology of a complex-analytic normalization
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 267-276 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the problem of constructing a normalization of a complex-analytic space is considered. The transition from a complex space to its normalization is carried out in two stages: in the first stage only the topology of the original space is changed; in the second stage “completion” of the structure sheaf takes place without change in the topology. The first stage is studied in detail; it is shown that an operation can be defined on the class of all pseudomanifolds which, applied to the body of the simplicial complex triangulating an irreducible complex space, gives a polyhedron homeomorphic to a normalization of the original space. It is also shown that this operation has the property of functoriality with respect to ramified coverings. A number of properties of such pseudomanifolds are obtained (in particular, it is shown that all of them are Cantor manifolds). Bibliography: 9 titles. 
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I. V. Savel'ev. On the topology of a complex-analytic normalization. Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 267-276. http://geodesic.mathdoc.fr/item/SM_1981_40_2_a9/

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