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Some theorems on the sheaf of the fundamental groups

Year 1984, Volume: 33 , - , 01.01.1984

S. Balcı

https://doi.org/10.1501/Commua1_0000000562

Abstract

L et X be a locally arcwise coıuıected topological space. In paper [1 ], we constructed “ the sheaf of the fundam ental groups” on X and gave some characterizations. In paper [2], we first gave some characterizations which are th e converses of the characterizations in paper [1 ] and obtained some results related w ith the group of sections. In this paper, we first construct the sheaf H* = H ı © H2 by defining “ the Generalized W hitney Sum ” and show th a t the sheaf H* is isomorphic to the sheaf HJXH2 which is direct product of the sheaves and H2 on X j and Xs, respectively. Finally ,we prove th a t, if (X j, H ı) and (X2, H2) are any two pairs, th en H* is iso­ m orphic to the pairs (H, X ı xX2).

Keywords

theorems fundamental sheaf

References

  • Communications, Series A1:Mathematics and Statistics

Year 1984, Volume: 33 , - , 01.01.1984

S. Balcı

https://doi.org/10.1501/Commua1_0000000562

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

S. Balcı This is me

Publication Date January 1, 1984
Submission Date January 1, 1984
Published in Issue Year 1984 Volume: 33

Cite

APA Balcı, S. (1984). Some theorems on the sheaf of the fundamental groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 33. https://doi.org/10.1501/Commua1_0000000562
AMA Balcı S. Some theorems on the sheaf of the fundamental groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1984;33. doi:10.1501/Commua1_0000000562
Chicago Balcı, S. “Some Theorems on the Sheaf of the Fundamental Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33, January (January 1984). https://doi.org/10.1501/Commua1_0000000562.
EndNote Balcı S (January 1, 1984) Some theorems on the sheaf of the fundamental groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33
IEEE S. Balcı, “Some theorems on the sheaf of the fundamental groups”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 33, 1984, doi: 10.1501/Commua1_0000000562.
ISNAD Balcı, S. “Some Theorems on the Sheaf of the Fundamental Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33 (January 1984). https://doi.org/10.1501/Commua1_0000000562.
JAMA Balcı S. Some theorems on the sheaf of the fundamental groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33. doi:10.1501/Commua1_0000000562.
MLA Balcı, S. “Some Theorems on the Sheaf of the Fundamental Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 33, 1984, doi:10.1501/Commua1_0000000562.
Vancouver Balcı S. Some theorems on the sheaf of the fundamental groups. 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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