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Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces

Year 2006, Volume: 55 Issue: 01, 0 - 0, 01.01.2006

Erdal Güner

https://doi.org/10.1501/Commua1_0000000316

Abstract

Let X be a fuzzy path connected topological space and (H, be the fuzzy sheaf of fundamental groups över X. Constructing the group of fuzzy sections, it is shown that there is a covariant functor from the category of fuzzy path connected topological spaces and fuzzy continuous mappings to the category of groups of fuzzy sections and homoınorphisms. Purthermore, defining the direct sum of the fuzzy sheaves, it is proved that the mapping J^i = (Pi,P*) '■ (A^ı X X2, X H2) —> {Xi,Hi) is a homomorphism for t = 1,2.

Keywords

fuzzy sheaf fundamental groups fuzzy topological spaces

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Year 2006, Volume: 55 Issue: 01, 0 - 0, 01.01.2006

Erdal Güner

https://doi.org/10.1501/Commua1_0000000316

Abstract

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Erdal Güner This is me

Publication Date January 1, 2006
Submission Date January 1, 2006
Published in Issue Year 2006 Volume: 55 Issue: 01

Cite

APA Güner, E. (2006). Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 55(01). https://doi.org/10.1501/Commua1_0000000316
AMA Güner E. Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 2006;55(01). doi:10.1501/Commua1_0000000316
Chicago Güner, Erdal. “Some Results on the Fuzzy Sheaf of the Fundamental Groups over Fuzzy Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55, no. 01 (January 2006). https://doi.org/10.1501/Commua1_0000000316.
EndNote Güner E (January 1, 2006) Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55 01
IEEE E. Güner, “Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 55, no. 01, 2006, doi: 10.1501/Commua1_0000000316.
ISNAD Güner, Erdal. “Some Results on the Fuzzy Sheaf of the Fundamental Groups over Fuzzy Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 55/01 (January 2006). https://doi.org/10.1501/Commua1_0000000316.
JAMA Güner E. Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006;55. doi:10.1501/Commua1_0000000316.
MLA Güner, Erdal. “Some Results on the Fuzzy Sheaf of the Fundamental Groups over Fuzzy Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 55, no. 01, 2006, doi:10.1501/Commua1_0000000316.
Vancouver Güner E. Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006;55(01).

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

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