On Space's Topology

It seems to be a common belief that the space in which we live is a space-time manifold of dimension at least four. In the present article we wish to draw attention to a slightly different possibility - a space-time pseudomanifold (or even a generalized pseudomanifold of one dimension or another). Basically, a pseudomanifold is in a sense a manifold K with certain irremovable singularities inherited in the topological structure of K, and prior and independent to any metric or differential structure imposed on K. We explain this term for dimension 3, but it holds analogously for higher dimensions as well ([5], [2,Sec.4]).