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Action of generalized Lie groups on manifolds

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Author(s): M. R. Farhangdoost

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXX;
Issue: 2;
Start page: 221;
Date: 2011;
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Keywords: Lie group | generalized topological group | top space.

ABSTRACT
In this paper by definition of generalized action of generalizedLie groups (top spaces) on a manifold, the concept of stabilizer ofthe top spaces is introduced. We show that the stabilizer is a topspace, moreover we find the tangent space of a stabilizer. Byusing of the quotient spaces, the dimension of some top spaces arefined.
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