The paper gives upper bounds for dimensions of certain poset products where the value drops by 2 below the sum and poses open questions on product dimensions with noted implications among answers.
Trotter, Jr., Dimension theory for ordered sets , pp
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Some frustrating questions on dimensions of products of posets
The paper gives upper bounds for dimensions of certain poset products where the value drops by 2 below the sum and poses open questions on product dimensions with noted implications among answers.