When is X × Y homeomorphic to X ×l Y?

Raushan Buzyakova


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 property. We justify the conjectures by partial results.


linearly ordered topological space; lexicographical product; homeomorphism; ordinal

Subject classification

06B30; 54F05; 06A05; 54A10.

Full Text:



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Universitat Politècnica de València

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