Geodesic
On the topology of a complex-analytic normalization
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 267-276 
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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     author = {I. V. Savel'ev},
     title = {On the topology of a~complex-analytic normalization},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[7] K. Oka, “Sur les fonctions analytiques de plusieurs variables. VIII. Lemme fondamental”, J. Math. Soc. Japan, 3 (1951), 204–214 ; 259–278 | MR | Zbl | MR | Zbl

[8] H. Cartan, Seminaire E. N. S., Ecole Norm. Super., Paris, 1953-54

[9] P. S. Aleksandrov, B. A. Pasynkov, Vvedenie v teoriyu razmernosti, izd-vo “Nauka”, Moskva, 1973 | MR