In this paper we consider a connected and locally arcvvise connected Hausdorff space X.
If N is a normal subgroup of the fundamental group F of X such that F / N is Abelian then it is shown that the normal covering space determined by N is the sheaf of the additive groups isomorphic to F / N at each point x G X as x runs through X, and conversely. It turns out that if, in particular, X is an analytic manifold of dimension n, then the homology covering space  determined by the homology group F / [F,F ] is itself an analytic complex manifold of dimen- sion n with the projection map TC :  -> X holomorphic. It follovvs at önce th at A is the sheaf A of germs of the totality of holomorphic functions A (X) on X.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 1984 |
Gönderilme Tarihi | 1 Ocak 1984 |
Yayımlandığı Sayı | Yıl 1984 Cilt: 33 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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