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 -