Abstract: One-dimensional
topological manifolds are modelled on R.
Here we will replace R by the
Sorgenfrey line to obtain what we
call a Sorgenfrey manifold. The first sections of the paper deal with these
mathematical objects.
An
example of a Sorgenfrey manifold is itself. While a
Sorgenfrey manifold does not have to be a homogeneous topological space, we will
show that the action of the homeomorphism group on the Sorgenfrey
line is highly transitive and describe some topological spaces which arise as
quotients where G
is a subgroup of
Keywords and phrases: Sorgenfrey line, Sorgenfrey manifold, homeomorphism group.
