A note on reordering ordered topological spaces and the existence
... In attacking the problem of determining which ordered spaces are pliable, we shall see that the problem breaks nicely into two parts, one topological and the other order-theoretic. The topological part is easily taken care of by a property which greatly strengthens the concept of a continuous order. ...
... In attacking the problem of determining which ordered spaces are pliable, we shall see that the problem breaks nicely into two parts, one topological and the other order-theoretic. The topological part is easily taken care of by a property which greatly strengthens the concept of a continuous order. ...
3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. Intuitively, a 3-manifold can be thought of as a possible shape of the universe. Just like a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. This is made more precise in the definition below.