English

When is $X\times Y$ homeomorphic to $X\times_l Y$?

General Topology 2018-01-08 v1

Abstract

We identify a class of linearly ordered topological spaces XX that may satisfy the property that X×XX\times X is homeomorphic to X×lXX\times_l X or can be embedded into a linearly ordered space with the stated property. We justify the conjectures by partial results.

Keywords

Cite

@article{arxiv.1801.01873,
  title  = {When is $X\times Y$ homeomorphic to $X\times_l Y$?},
  author = {Raushan Buzyakova},
  journal= {arXiv preprint arXiv:1801.01873},
  year   = {2018}
}