General topology of the universe is described. It
is concluded that topology of the present universe is greater or stronger than
the topology of the universe in the past and topology of the future universe
will be stronger or greater than the present topology of the universe.
Consequently, the universe remains unbounded. The general topological approach
comprises of powerful techniques that could prove to be useful to prescribe
mathematical constraints on the global character of the universe as well as on
the manifold of space-time.