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

Erdal Güner

doi:10.1501/Commua1_0000000316

EN

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

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

References

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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Erdal Güner This is me
Türkiye

Publication Date

January 1, 2006

Submission Date

January 1, 2006

Acceptance Date

-

Published in Issue

Year 2006 Volume: 55 Number: 01

DOI

https://doi.org/10.1501/Commua1_0000000316

IZ

https://izlik.org/JA24ZY39EH

Cite

RIS / Bibtex

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

1.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). doi:10.1501/Commua1_0000000316

Chicago

Güner, Erdal. 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.

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

[1]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, Jan. 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 1, 2006). https://doi.org/10.1501/Commua1_0000000316.

JAMA

1.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, Jan. 2006, doi:10.1501/Commua1_0000000316.

Vancouver

1.Erdal Güner. Some results on the fuzzy sheaf of the fundamental groups over fuzzy topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2006 Jan. 1;55(01). doi:10.1501/Commua1_0000000316