When is X × Y homeomorphic to X ×l Y?
- MathematicsApplied General Topology
We identify a class of linearly ordered topological spaces X that may satisfy the property that X × X is homeomorphic to X ×l X or can be embedded into a linearly ordered space with the stated…
When is $X\times Y$ homeomorphic to $X\times_l Y$?
We identify a class of linearly ordered topological spaces $X$ that may satisfy the property that $X\times X$ is homeomorphic to $X\times_l X$ or can be embedded into a linearly ordered space with…
SHOWING 1-5 OF 5 REFERENCES
" Linearly Ordered and Generalized Ordered Spaces "
For any linearly ordered set (X, <), let I(<) be the topology on X that has the collection of all open intervals of (X, <) as a base. The topology I(<) is the open interval topology of the order <…