%0 Journal Article %T Fiber bundles and Lie algebras of top spaces %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Farhangdoost, M. R. %D 2013 %\ 09/01/2013 %V 39 %N 4 %P 589-598 %! Fiber bundles and Lie algebras of top spaces %K Lie group %K top space %K fiber bundle %K Lie algebra %R %X In this paper, by using of Frobenius theorem a relation between Lie subalgebras of the Lie algebra of a top space T and Lie subgroups of T(as a Lie group) is determined. As a result we can consider these spaces by their Lie algebras. We show that a top space with the finite number of identity elements is a C^{∞} principal fiber bundle, by this method we can characterize top spaces. %U http://bims.iranjournals.ir/article_433_60e83e555afcee71f46a98403fdecd4b.pdf