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Original Articles
Differential Connections on Top Spaces
Mohammad Reza Farhangdoostfarhang@shirazu.ac.irDepartment of MathematicsCollege of SciencesShiraz UniversityShiraz, 71454, IranView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2010.10698580
- Pages:
- 87–92
Abstract
In this paper we construct differential connections such as horizontal lines and we show that: they have Lie semigroup structure with an identity element. We also show that differential connections structures can be lifted by covering top spaces, and if two connections are parallel, then their lifts are parallel.
Keywords
References
- Araujo, J. and Konieczny, J.2002 . . , 48 ( 52 ) : 1 – 5 .
- Clifford, A.H.1941 . Semi-groups Admitting Relative Inverses . , 42 ( 4 ) : 1037 – 1049 .
- Clifford, A.H. and Preston, G.B.1964 . , American Mathematical Society
- Farhangdoost, M.R. and Molaei, M.R.2009 . Characterization of top spaces by diffeomorphic Lie groups . , 11 : 130 – 134 .
- Miličić, D.2004 .
- Molaei, M.R.2005 . , Hadronic Press .
- Molaei, M.R.2004 . Top Spaces . , 7 ( 2 ) : 173 – 181 .
- Molaei, M.R.2000 . Topological generalized groups . , 9 ( 2 ) : 1055 – 1060 .
- Molaei, M.R.2005 . Complete Semidynamical Systems . , 3 ( 2 ) : 95 – 107 .
- Molaei, M.R. and Farhangdoost, M.R.2009 . Lie Algebras of a Class of Top Spaces . , 14 ( 1 ) : 46 – 51 .
- Molaei, M.R., Khadekar, G.S. and Farhangdoost, M.R.2006 . On Top Spaces . , 11 ( 1 ) : 101 – 106 .
- Molaei, M.R. and Tahmoresi, M.R.2004 . Connected Topological Generalized Groups . , 12 ( 1 ) : 13 – 22 .
- Serre, J.P.1964 . , Lecture given at Harvard University, LNM 1500, Springer .
- Vanger, V.1952 . Generalized Groups . , 84 : 1119 – 1122 . (Wanger), (Russian)
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