%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