TY - JOUR ID - 433 TI - Fiber bundles and Lie algebras of top spaces JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Farhangdoost, M. R. AD - Department of Mathematics, College of Sciences, Shiraz University, P.O.Box 71457-44776, Shiraz, IRAN. Y1 - 2013 PY - 2013 VL - 39 IS - 4 SP - 589 EP - 598 KW - Lie group KW - top space KW - fiber bundle KW - Lie algebra DO - N2 - 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. UR - http://bims.iranjournals.ir/article_433.html L1 - http://bims.iranjournals.ir/article_433_60e83e555afcee71f46a98403fdecd4b.pdf ER -