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Farhangdoost, M. R., Radmanesh, H.. (1390). Existence of differentiable connections on top spaces. , 35(1), 53-56. doi: 10.22099/ijsts.2011.2128
M. R. Farhangdoost; H. Radmanesh. "Existence of differentiable connections on top spaces". , 35, 1, 1390, 53-56. doi: 10.22099/ijsts.2011.2128
Farhangdoost, M. R., Radmanesh, H.. (1390). 'Existence of differentiable connections on top spaces', , 35(1), pp. 53-56. doi: 10.22099/ijsts.2011.2128
Farhangdoost, M. R., Radmanesh, H.. Existence of differentiable connections on top spaces. , 1390; 35(1): 53-56. doi: 10.22099/ijsts.2011.2128

Existence of differentiable connections on top spaces

Iranian Journal of Science
مقاله 7، دوره 35، شماره 1، اردیبهشت 2011، صفحه 53-56    اصل مقاله (97.84 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2128
نویسندگان
M. R. Farhangdoost* ؛ H. Radmanesh
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
چکیده
In this paper, differentiable connections on top spaces are studied and some conditions on which there is no
differentiable connection passing from a given point in the top space are found. In a special case, the Euclidean
space 􀔹􀬶 is considered as a top space and the existence of differentiable connections is studied. Finally, we prove that the smoothness condition of the inverse map in the definition of a top space is redundant.
کلیدواژه‌ها
Lie group؛ generalized topological group؛ top space؛ differentiable connection
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