On the topology and geometry of arcwise connected, finite-dimensional groups
On the topology and geometry of arcwise connected, finite-dimensional groups
If G is an arcwise connected, finite-dimensional group, then it is known that there exists a connected Lie group G~ and a continuous, one-one, onto homomorphism i: G~ -> G. Results are obtained for describing the topology of G in terms of the geometry of the manifold G~ and of …