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On homology covering space and sheaf associated to the homology group

Yıl 1984, Cilt: 33 , - , 01.01.1984
https://doi.org/10.1501/Commua1_0000000561

Öz

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.

Kaynakça

  • Communications, Series A1:Mathematics and Statistics
Yıl 1984, Cilt: 33 , - , 01.01.1984
https://doi.org/10.1501/Commua1_0000000561

Öz

Kaynakça

  • Communications, Series A1:Mathematics and Statistics
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

Cengiz Uluçay Bu kişi benim

Yayımlanma Tarihi 1 Ocak 1984
Gönderilme Tarihi 1 Ocak 1984
Yayımlandığı Sayı Yıl 1984 Cilt: 33

Kaynak Göster

APA Uluçay, C. (1984). On homology covering space and sheaf associated to the homology group. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 33. https://doi.org/10.1501/Commua1_0000000561
AMA Uluçay C. On homology covering space and sheaf associated to the homology group. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ocak 1984;33. doi:10.1501/Commua1_0000000561
Chicago Uluçay, Cengiz. “On Homology Covering Space and Sheaf Associated to the Homology Group”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33, Ocak (Ocak 1984). https://doi.org/10.1501/Commua1_0000000561.
EndNote Uluçay C (01 Ocak 1984) On homology covering space and sheaf associated to the homology group. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33
IEEE C. Uluçay, “On homology covering space and sheaf associated to the homology group”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 33, 1984, doi: 10.1501/Commua1_0000000561.
ISNAD Uluçay, Cengiz. “On Homology Covering Space and Sheaf Associated to the Homology Group”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33 (Ocak 1984). https://doi.org/10.1501/Commua1_0000000561.
JAMA Uluçay C. On homology covering space and sheaf associated to the homology group. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33. doi:10.1501/Commua1_0000000561.
MLA Uluçay, Cengiz. “On Homology Covering Space and Sheaf Associated to the Homology Group”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 33, 1984, doi:10.1501/Commua1_0000000561.
Vancouver Uluçay C. On homology covering space and sheaf associated to the homology group. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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