exponential map of a class of top spaces

In this paper we wish to investigate right top spaces [1]. it is proved that if t is a right rees matrix with the lie algebra τ then (a) given a lie subalgebra h of τ there exists a sub top space of t with the lie algebra h, (b) given a morphism of lie algebras ψ : g → τ and t ∈ t , where g is the lie algebra of a simply connected lie group g, there exists a unique homomorphism ϕ : g → t such that ϕ(e) = e(t) and (ϕ)∗ = ψ. finally exponential map for right rees matrixes is defined.