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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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