When is X × Y homeomorphic to X ×l Y?

[摘要] We identify a class of linearly ordered topological spaces X that may satisfy the property that X × X is homeomorphic to X × lX or can be embedded into a linearly ordered space with the stated property. We justify the conjectures by partial results.

[学科分类] 几何与拓扑

[关键词] linearly ordered topological space;lexicographical product;homeomorphism;ordinal