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.
Farhangdoost, M. R., & Radmanesh, H. (2011). Existence of differentiable connections on top spaces. Iranian Journal of Science, 35(1), 53-56. doi: 10.22099/ijsts.2011.2128
MLA
M. R. Farhangdoost; H. Radmanesh. "Existence of differentiable connections on top spaces", Iranian Journal of Science, 35, 1, 2011, 53-56. doi: 10.22099/ijsts.2011.2128
HARVARD
Farhangdoost, M. R., Radmanesh, H. (2011). 'Existence of differentiable connections on top spaces', Iranian Journal of Science, 35(1), pp. 53-56. doi: 10.22099/ijsts.2011.2128
VANCOUVER
Farhangdoost, M. R., Radmanesh, H. Existence of differentiable connections on top spaces. Iranian Journal of Science, 2011; 35(1): 53-56. doi: 10.22099/ijsts.2011.2128
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