Ordering A Square

@article{Buzyakova2015OrderingAS,
  title={Ordering A Square},
  author={Raushan Z. Buzyakova},
  journal={arXiv: General Topology},
  year={2015}
}
  • R. Buzyakova
  • Published 9 May 2015
  • Mathematics
  • arXiv: General Topology
When is X × Y homeomorphic to X ×l Y?
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

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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 <
ORDERED TOPOLOGICAL SPACES
General Topology-I
Complete normality of cartesian products